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Vikentia [17]
3 years ago
12

A piece of art is in the shape of an equilateral triangle with sides of 13 in. Find the area

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0

Answer:

73.2sq.in

Step-by-step explanation:

Area of the triangle = 1/2 * base * height

Get the height using the pythagras theorem

h^2 = 13^2 - (13/2)^2

h^2 = 169 - (6.5)^2

h^2 = 169 - 42.25

h = 11.26in

Area of the triangle = 1/2 * 13 * 11.26

Area of the triangle = 6.5 * 11.26

Area of the triangle = 73.2sq.in

Hence the area of the triangle to nearest tenth is  73.2sq.in

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