Question

find the length of each altitude of an equilateral triangle with side 12 CM​

Answer 1

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Hey mate.....✨

Check your answer in the attachment.

Hope it helps ✔

Answer 2

Concept

Pythagoras theorem

The theorem is a²+b²=c²

where

a = side of right triangle

b = side of right triangle

c = hypotenuse

Given

An equilateral triangle with side 12 cm.

To find

We have to find the length of each altitude of an equilateral triangle.

Solution

The altitude of an equilateral triangle bisects the side on which it stands, while the remaining sides create right-angled triangles.

So M0 = OP = 6 cm

Also in ΔMON , ∠MON is right angle

then applying Pythagoras theorem gives

(MO)² + (ON)² = (MN)²

(6)² + h² = 12²

        h² = 144 -36

        h² =108

        h = √108

        h =  6 √3 cm

Hence the altitude of an equilateral triangle is 6 √3 cm