Question

if the perimeter of an equilateral trianle is 60 cm finds its area and height.

Answer 1

Hello dear friend,
Perimeter of an equilateral= 3× side
60cm=3× side
60cm/3= side
20cm=side
$area \: of \: triangle \\ = \sqrt{s(s - a)(s - b)(s - c) } \\ s = \frac{a + b + c}{2}$
s= 20+20+20/2= 30cm
$\sqrt{30(30 - 20)(30 - 20)(30 - 20)} \\ = \sqrt{2 \times 3 \times 5 \times 2 \times 5 \times 2 \times 5 \times 2 \times 5} \\ = 2 \times 2 \times 5 \times 5 \times 1.7 \\ = 170 {cm}^{2}$
Area of triangle= 1/2 × b×h
170cm^2= 1/2 × 20cm×h
170cm^2×2/20cm=h
17cm= height
If you like then plzzzz mark me brainliest☺