Question

Find the length of the height of an equilateral triangle of side 24cm. [Take root3 =1.73] Hint.1/2 ×24×h=root3/4×24×24.Find h.

Answer 1

use formula ,
area of equilatral triangle = root3/4 (side length )^2

side length is 24 cm
now ,
area of equilatral triangle =root3/4 (24)^2
=root3/4 x 24 x 24
= 144 root3 cm^2

we also know ,
area of triangle = 1/2 height x base
144root3 = 1/2 x height x 24
12 root3 = height

hence ,
height = 12root3 cm
= 12 x 1.73 cm
=20.76 cm

Answer 2

pls go through the image

I hope this will help

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