Question

calculate area and height of equilateral triangle whose perimeter is 60cm

Answer 1

Equilateral Traingle has all the sides equal.

So, Let one side be x

According to the question,

x+x+x = 60

3x = 60

Therefore, x = 20 cm

Area of equlateral triangle =
 $\frac{ \sqrt{3} }{4} side^{2}$

(also read as root 3 by 4 side square)

$\frac{ \sqrt{3} }{4} 20^{2}$

Therefore, area of the traingle = 100√3 cm²


Height²= 20² - 10²

Height² = 400- 100

Height = √300

Height = 10√3 cm

I hope it helped.

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Answer 2

peimeter of a equilateral triangle=60cm
then side of a equilateral triangle=60/3
=20cm (since all sides are equal)
area of equilateral traingle=root3/4×side^2
=root3/4×20^2
=100×root3 cm
height or median of equilateral traingle
=root3/2×side
=root3/2×20
=10×root3 cm
hope it helps .......plz mark brainliest