Question

area of the equilateral triangle whose height is 20 CM​

Answer 1

plss brainliest my answer..

Answer 2

Answer:

The area of the given equilateral triangle is 230.94cm².

Step-by-step explanation:

Given:

Height(h) = 20cm

To find:

Area of the triangle(A) = ?

Formula:

Area of equilateral triangle = (√3/4)s²

Step 1:

The height of the equilateral triangle is given to be 20cm.

We know that the height of an equilateral triangle is √3/2 times the length of its side. Therefore,

Height = √3/2 × Side

h = (√3/2 ) × s

20 = (√3/2 ) × s

s = (20×2)/√3

s = 40/√3

Step 2:

We know that the area of an equilateral triangle is given as follows:

A(equilateral triangle) = (√3/4)s²

A(equilateral triangle) = (√3/4) (40/√3)²

A(equilateral triangle) = (√3×40×40)/(4×√3×√3)

A(equilateral triangle) = (1600)/(4√3)

A(equilateral triangle) = 400/√3

A(equilateral triangle) = 230.94 cm²

Therefore, the area of the equilateral triangle whose height is 20cm is 230.94cm².

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