Respuesta :

cenderwinstead

Answer:

389.7 square inches

Step-by-step explanation:

equilateral triangle = each side has the same lenght

90 inches / 3 = 30 inches each side

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Pythagoras

30^2 = 15^2 + x^2

900 - 225 = x^2

v 675 = x

25.98 = x

x = height

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Area = BxH/2

B = 30 inches

H = 25.98

(30 x 25.98) /2 = 389.7 square inches

Answer:

390 in²

Step-by-step explanation:

Length of the sides of the triangle = 90/3 = 30 in

area of a triangle = (base × height)/2

height of an equilateral triangle with sides of length x  [tex]=\frac{\sqrt{3} }{2}x[/tex]

Then the height of our triangle [tex]=\frac{\sqrt{3} }{2} \times30=26[/tex]

Conclusion:

area of the triangle = (30 × 26)/2 = 390 in²

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