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

triangle.

Answer: h 8

b 22

the height is 8 in and base is 22 inches

Step-by-step explanation:

area of a triangle = 1/2 base * height

let the height of the triangle be x

then the width or base = 2x+6

area = 88 in² = 1/2 (x) (2x+6)

88 = 2/2 (x) (x+3)

88 = x² + 3x

or x² + 3x-88=0

applying mid term break formula

x² + 11x-8x - 88=0

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

(x+11) (x-8) = 0 ⇒x = - 11,8 (ignoring the negative value as it cannot have negative value)

height = x=8 in

bases = 2*8+6=16+6=22in