Median 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 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%
✖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%

✖Median on Side B of Triangle is a line segment joining a vertex to the midpoint of side B, thus bisecting that side.ⓘ Median on Side B of Triangle [M_b]

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Formula

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Median on Side B of Triangle

Formula

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

Example

`"14.17745m"=sqrt(2*("10m")^2+2*("20m")^2-("14m")^2)/2`

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Median on Side B of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2
M_b = sqrt(2*S_a^2+2*S_c^2-S_b^2)/2
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

Median on Side B of Triangle - (Measured in Meter) - Median on Side B of Triangle is a line segment joining a vertex to the midpoint of side B, thus bisecting that side.
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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Side A of Triangle: 10 Meter --> 10 Meter No Conversion Required
Side C of Triangle: 20 Meter --> 20 Meter No Conversion Required
Side B of Triangle: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

M_b = 14.1774468787578

STEP 3: Convert Result to Output's Unit

14.1774468787578 Meter --> No Conversion Required

FINAL ANSWER

14.1774468787578 ≈ 14.17745 Meter <-- Median on Side B of Triangle

(Calculation completed in 00.004 seconds)

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< 3 Median of Triangle Calculators

Median on Side C of Triangle

Go Median on Side C of Triangle = sqrt(2*Side A of Triangle^2+2*Side B of Triangle^2-Side C of Triangle^2)/2

Median on Side A of Triangle

Go Median on Side A of Triangle = sqrt(2*Side C of Triangle^2+2*Side B of Triangle^2-Side A of Triangle^2)/2

Median on Side B of Triangle

Go Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2

< 3 Medians of Triangle Calculators

Median on Side A of Triangle

Go Median on Side A of Triangle = sqrt(2*Side C of Triangle^2+2*Side B of Triangle^2-Side A of Triangle^2)/2

Median on Side B of Triangle

Go Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2

Median on Side C of Triangle

Go Median on Side C of Triangle = sqrt(2*Side A of Triangle^2+2*Side B of Triangle^2-Side C of Triangle^2)/2

Median on Side B of Triangle Formula

Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2
M_b = sqrt(2*S_a^2+2*S_c^2-S_b^2)/2

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 Median on Side B of Triangle?

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

How to calculate Median on Side B of Triangle using this online calculator? To use this online calculator for Median on Side B of Triangle, enter Side A of Triangle (S_a), Side C of Triangle (S_c) & Side B of Triangle (S_b) and hit the calculate button. Here is how the Median on Side B of Triangle calculation can be explained with given input values -> 14.17745 = sqrt(2*10^2+2*20^2-14^2)/2.

FAQ

What is Median on Side B of Triangle?

The Median on Side B of Triangle formula is defined as the length of the line segment that joins a vertex containing angle B to the mid-point of the side B that is opposite to that vertex and is represented as M_b = sqrt(2*S_a^2+2*S_c^2-S_b^2)/2 or Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2. 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 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 & 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.

How to calculate Median on Side B of Triangle?

The Median on Side B of Triangle formula is defined as the length of the line segment that joins a vertex containing angle B to the mid-point of the side B that is opposite to that vertex is calculated using Median on Side B of Triangle = sqrt(2*Side A of Triangle^2+2*Side C of Triangle^2-Side B of Triangle^2)/2. To calculate Median on Side B of Triangle, you need Side A of Triangle (S_a), Side C of Triangle (S_c) & Side B of Triangle (S_b). With our tool, you need to enter the respective value for Side A of Triangle, Side C of Triangle & Side B 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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