Height on Side B of Triangle Calculator

✖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 [S_a]			+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 [S_b]			+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 [S_c]			+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 [h_b]

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Formula

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Height on Side B of Triangle

Formula

`"h"_{"b"} = sqrt(("S"_{"a"}+"S"_{"b"}+"S"_{"c"})*("S"_{"b"}-"S"_{"a"}+"S"_{"c"})*("S"_{"a"}-"S"_{"b"}+"S"_{"c"})*("S"_{"a"}+"S"_{"b"}-"S"_{"c"}))/(2*"S"_{"b"})`

Example

`"9.284615m"=sqrt(("10m"+"14m"+"20m")*("14m"-"10m"+"20m")*("10m"-"14m"+"20m")*("10m"+"14m"-"20m"))/(2*"14m")`

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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)
h_b = sqrt((S_a+S_b+S_c)*(S_b-S_a+S_c)*(S_a-S_b+S_c)*(S_a+S_b-S_c))/(2*S_b)
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

h_b = sqrt((S_a+S_b+S_c)*(S_b-S_a+S_c)*(S_a-S_b+S_c)*(S_a+S_b-S_c))/(2*S_b) --> sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*14)

Evaluating ... ...

h_b = 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 00.004 seconds)

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Osmania University (OU), Hyderabad

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< 3 Height of Triangle Calculators

Height on Side C of Triangle

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

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

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)

< 3 Heights of Triangle Calculators

Height on Side A of Triangle

Height on Side B of Triangle

Height on Side C of Triangle

Height on Side B of Triangle Formula

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 h_b 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 (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) 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 h_b = sqrt((S_a+S_b+S_c)*(S_b-S_a+S_c)*(S_a-S_b+S_c)*(S_a+S_b-S_c))/(2*S_b) 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 (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c). 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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