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The cross-section of a lean-to shelter is in the shape of a triangle. The base of the triangle is 88​ feet more than twice its height. If the area of the triangle is 9696​ square feet, determine the length of the base and the height of the triangle in feet.

Respuesta :

MuDante

Step-by-step explanation:

base = 2 × height + 88

area = (base × height) / 2 = 9696

base × height = 19392

(2 × height + 88) × height = 19392

2×height² + 88×height - 19392 = 0

by sorting this equation in the quadratic formula you will get two solutions but one of them will be negative which can't be bacause langht can't be negative.

sort this into the first equation and you get the length of the base.

good luck with maths bro :)

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