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?

Question

Mathematics

Guest

21 May, 14:08

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?

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Answers (2)

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Sebastian Holmes · Answer 1

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

Agustin Galvan · Answer 2

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