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The height of a triangle is 12cm longer than it’s base. The area of the triangle is 80cm^2. What is the base of the triangle?

Respuesta :

choixongdong
A = 1/2 bh
2 A = bh
2(80) = b (b + 12)
160 = b^2 + 12b
b^2 + 12b - 160 = 0
(b-8)(b+20) = 0
b - 8 = 0; b = 8
b + 20 = 20; b = -20

so 
base b = 8
height = b + 12 = 8 + 12 = 20

answer
base  = 8
h = b + 12
area = 1/2 * h * b = 80
1/2 (b + 12) * b = 80
b^2 + 12b - 160 = 0
(b + 20)*(b - 8) = 0
b = -20 which is impossible or b = 8cm which is the ans

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