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Height on Side B of Triangle Calculator

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✖The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.ⓘ Side A of Triangle [Sa]
+10%
-10%
✖The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.ⓘ Side B of Triangle [Sb]
+10%
-10%
✖The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.ⓘ Side C of Triangle [Sc]
+10%
-10%
✖Height on Side B of Triangle is the length of the perpendicular from side B of the triangle to the opposite vertex.ⓘ Height on Side B of Triangle [hb]
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Height on Side B of Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle)
hb = sqrt((Sa+Sb+Sc)*(Sb-Sa+Sc)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/(2*Sb)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Height on Side B of Triangle - (Measured in Meter) - Height on Side B of Triangle is the length of the perpendicular from side B of the triangle to the opposite vertex.
Side A of Triangle - (Measured in Meter) - The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Side B of Triangle - (Measured in Meter) - The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B.
Side C of Triangle - (Measured in Meter) - The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
STEP 1: Convert Input(s) to Base Unit
Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
hb = sqrt((Sa+Sb+Sc)*(Sb-Sa+Sc)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/(2*Sb) --> sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*14)
Evaluating ... ...
hb = 9.28461531958395
STEP 3: Convert Result to Output's Unit
9.28461531958395 Meter --> No Conversion Required
FINAL ANSWER
9.28461531958395 ≈ 9.284615 Meter <-- Height on Side B of Triangle
(Calculation completed in 00.054 seconds)
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Osmania University (OU), Hyderabad
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Height of Triangle Calculators

Height on Side C of Triangle
​ LaTeX ​ Go Height on Side C of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side C of Triangle)
Height on Side B of Triangle
​ LaTeX ​ Go Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle)
Height on Side A of Triangle
​ LaTeX ​ Go Height on Side A of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side A of Triangle)

Heights of Triangle Calculators

Height on Side A of Triangle
​ LaTeX ​ Go Height on Side A of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side A of Triangle)
Height on Side B of Triangle
​ LaTeX ​ Go Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle)
Height on Side C of Triangle
​ LaTeX ​ Go Height on Side C of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side C of Triangle)

Height on Side B of Triangle Formula

​LaTeX ​Go
Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle)
hb = sqrt((Sa+Sb+Sc)*(Sb-Sa+Sc)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/(2*Sb)

What is a Triangle?

A Triangle is a type of polygon, which have three sides and three vertices. This is a two-dimensional figure with three straight sides. A triangle is considered a 3-sided polygon. The sum of all the three angles of a triangle is equal to 180°. The triangle is contained in a single plane. Based on its sides and angle measurement, the triangle has six types.

How to Calculate Height on Side B of Triangle?

Height on Side B of Triangle calculator uses Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle) to calculate the Height on Side B of Triangle, The Height on Side B of Triangle formula is defined as the length of the line segment that joins a vertex containing angle B to the side B that is perpendicular to side B. Height on Side B of Triangle is denoted by hb symbol.

How to calculate Height on Side B of Triangle using this online calculator? To use this online calculator for Height on Side B of Triangle, enter Side A of Triangle (Sa), Side B of Triangle (Sb) & Side C of Triangle (Sc) and hit the calculate button. Here is how the Height on Side B of Triangle calculation can be explained with given input values -> 9.284615 = sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*14).

FAQ

What is Height on Side B of Triangle?
The Height on Side B of Triangle formula is defined as the length of the line segment that joins a vertex containing angle B to the side B that is perpendicular to side B and is represented as hb = sqrt((Sa+Sb+Sc)*(Sb-Sa+Sc)*(Sa-Sb+Sc)*(Sa+Sb-Sc))/(2*Sb) or Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle). The Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A, The Side B of Triangle is the length of the side B of the three sides. In other words, the side Bof the Triangle is the side opposite to the angle B & The Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
How to calculate Height on Side B of Triangle?
The Height on Side B of Triangle formula is defined as the length of the line segment that joins a vertex containing angle B to the side B that is perpendicular to side B is calculated using Height on Side B of Triangle = sqrt((Side A of Triangle+Side B of Triangle+Side C of Triangle)*(Side B of Triangle-Side A of Triangle+Side C of Triangle)*(Side A of Triangle-Side B of Triangle+Side C of Triangle)*(Side A of Triangle+Side B of Triangle-Side C of Triangle))/(2*Side B of Triangle). To calculate Height on Side B of Triangle, you need Side A of Triangle (Sa), Side B of Triangle (Sb) & Side C of Triangle (Sc). With our tool, you need to enter the respective value for Side A of Triangle, Side B of Triangle & Side C of Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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