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Height on Side A of Triangle Formula

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Height on Side A of Triangle is the length of the perpendicular from side A of the triangle to the opposite vertex. Check FAQs

h a = \frac{\sqrt{(S a + S b + S c) \cdot (S b - S a + S c) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{2 \cdot S a}

h_a - Height on Side A of Triangle?S_a - Side A of Triangle?S_b - Side B of Triangle?S_c - Side C of Triangle?

Height on Side A of Triangle Example

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Here is how the Height on Side A of Triangle equation looks like with Values.

Here is how the Height on Side A of Triangle equation looks like with Units.

Here is how the Height on Side A of Triangle equation looks like.

12.9985 = \frac{\sqrt{(10 + 14 + 20) \cdot (14 - 10 + 20) \cdot (10 - 14 + 20) \cdot (10 + 14 - 20)}}{2 \cdot 10}

12.9985m = \frac{\sqrt{(10m + 14m + 20m) \cdot (14m - 10m + 20m) \cdot (10m - 14m + 20m) \cdot (10m + 14m - 20m)}}{2 \cdot 10m}

12.9985 = \frac{\sqrt{(10 + 14 + 20) \cdot (14 - 10 + 20) \cdot (10 - 14 + 20) \cdot (10 + 14 - 20)}}{2 \cdot 10}

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Height on Side A of Triangle Solution

Follow our step by step solution on how to calculate Height on Side A of Triangle?

FIRST Step Consider the formula

h a = \frac{\sqrt{(S a + S b + S c) \cdot (S b - S a + S c) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{2 \cdot S a}

Next Step Substitute values of Variables

∴

h a = \frac{\sqrt{(10m + 14m + 20m) \cdot (14m - 10m + 20m) \cdot (10m - 14m + 20m) \cdot (10m + 14m - 20m)}}{2 \cdot 10m}

Next Step Prepare to Evaluate

∴

h a = \frac{\sqrt{(10 + 14 + 20) \cdot (14 - 10 + 20) \cdot (10 - 14 + 20) \cdot (10 + 14 - 20)}}{2 \cdot 10}

Next Step Evaluate

∴

h a = 12.9984614474175m

LAST Step Rounding Answer

∴

h a = 12.9985m

Height on Side A of Triangle Formula Elements

Variables

Functions

Height on Side A of Triangle

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

Symbol: h_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height on Side A of Triangle

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.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Triangle

Side B of Triangle

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.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Triangle

Side C of Triangle

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.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Triangle

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.

Syntax: sqrt(Number)

Other formulas in Height of Triangle category

Go Height on Side B of Triangle

h b = \frac{\sqrt{(S a + S b + S c) \cdot (S b - S a + S c) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{2 \cdot S b}

Go Height on Side C of Triangle

h c = \frac{\sqrt{(S a + S b + S c) \cdot (S b - S a + S c) \cdot (S a - S b + S c) \cdot (S a + S b - S c)}}{2 \cdot S c}

How to Evaluate Height on Side A of Triangle?

Height on Side A of Triangle evaluator 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 evaluate 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 evaluate Height on Side A of Triangle using this online evaluator? To use this online evaluator 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.

FAQs on Height on Side A of Triangle

What is the formula to find Height on Side A of Triangle?

The formula of Height on Side A of Triangle is expressed as 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). Here is an example- 12.99846 = sqrt((10+14+20)*(14-10+20)*(10-14+20)*(10+14-20))/(2*10).

How to calculate Height on Side A of Triangle?

With Side A of Triangle (S_a), Side B of Triangle (S_b) & Side C of Triangle (S_c) we can find Height on Side A of Triangle using the formula - 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). This formula also uses Square Root (sqrt) function(s).

Can the Height on Side A of Triangle be negative?

No, the Height on Side A of Triangle, measured in Length cannot be negative.

Which unit is used to measure Height on Side A of Triangle?

Height on Side A of Triangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height on Side A of Triangle can be measured.

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Height on Side A of Triangle Formula

Height on Side A of Triangle Example

Height on Side A of Triangle Solution

Height on Side A of Triangle Formula Elements

Other formulas in Height of Triangle category

How to Evaluate Height on Side A of Triangle?

FAQs on Height on Side A of Triangle

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