Height on Side A 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 A of Triangle is the length of the perpendicular from side A of the triangle to the opposite vertex.ⓘ Height on Side A of Triangle [h_a]

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Height on Side A of Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
h_a = 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_a)
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 A of Triangle - (Measured in Meter) - Height on Side A of Triangle is the length of the perpendicular from side A 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_a = 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_a) --> sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*10)

Evaluating ... ...

h_a = 12.9984614474175

STEP 3: Convert Result to Output's Unit

12.9984614474175 Meter --> No Conversion Required

FINAL ANSWER

12.9984614474175 ≈ 12.99846 Meter <-- Height on Side A of Triangle

(Calculation completed in 00.007 seconds)

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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

Height on Side B of Triangle

Height on Side C of Triangle

Height on Side A of Triangle Formula

LaTeX Go

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 A of Triangle?

Height on Side A of Triangle calculator uses 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) to calculate the Height on Side A of Triangle, The Height on Side A of Triangle formula is defined as the length of the line segment that joins a vertex containing angle A to the side A that is perpendicular to side A. Height on Side A of Triangle is denoted by h_a symbol.

How to calculate Height on Side A of Triangle using this online calculator? To use this online calculator for Height on Side A 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 A of Triangle calculation can be explained with given input values -> 12.99846 = sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*10).

FAQ

What is Height on Side A of Triangle?

The Height on Side A of Triangle formula is defined as the length of the line segment that joins a vertex containing angle A to the side A that is perpendicular to side A and is represented as h_a = 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_a) or 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). 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 A of Triangle?

The Height on Side A of Triangle formula is defined as the length of the line segment that joins a vertex containing angle A to the side A that is perpendicular to side A is calculated using 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). To calculate Height on Side A 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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