The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2. what is the length of its base?

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asked Jan 25, 2019 59.5k views

2 Answers

Liammclennan · Answer 1 · 2019-01-30T13:50:37+0000

Area = (1/2)bh
h = b-4

(1/2)b(b-4) = 48
b(b-4) = 48 : (1/2)
b² - 4b = 96
b² - 4b - 96 = 0
D = (-4)² - 4·(-96) = 16 + 384 = 400 = 20²
b₁ = (4-20)/2 = -8 ∅
b₂ = (4+20)/2 = 12

The length of the base = 12 m

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2. what is the length of its base?

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