Question

The width of a triangle is six more than twice the height. The area of the triangle is 88in2. Find the height and base of the triangle.

Answer 1

Step-by-step explanation:

let base be x and height be y

so, x = 2y + 6

area of triangle = 1/2 x (2y+6)( y)= 88

y^2 + 3y = 88

y^2 +3y -88= 0

y^2 +11y - 8y - 88 = 0

y(y + 11) -8(y+11) = 0

y= 8 is height of the triangle..

then x = 22 is the base of the triangle..

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