Math, asked by frunkwriter155, 1 year ago

An equilateral triangle has side lengths of 10 what is the altitude

Answers

Answered by CoruscatingGarçon
3

Altitude = Height   Because we're using an equilateral triangle, then this will be much simpler to do:   H^2 = 10^2 - (10/2)^2   H^2 = 100 - 25  H^2 = 75  H = 5 * square root of 3   For explanation refer the image below.  Pls mark it the brainliest  

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Answered by TooFree
7

Given:

A equilateral triangle with side 10 units

To FInd:

The altitude of the triangle

Explanation:

A equilateral triangle has 3 equal sides.

Half the equilateral triangle forms a right-angled triangle.

Find the altitude:

Let the altitude be h.

a² + b² = c²

h² + (10 ÷ 2)² = 10²

h²  + 5² = 10²

h² = 10² - 5²

h² = 100 - 25

h² = 75

h = 5√3 units

Answer: The altitude is 5√3 units

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