Identify the height of a triangle in which b = (x - 2) m and A = (x2 - 4) m2.

Question

Mathematics

Alivia Pace

31 March, 19:46

Identify the height of a triangle in which b = (x - 2) m and A = (x2 - 4) m2.

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Answers (1)

Know the Answer?

Fatima Sparks · Answer 1

We know that

area of triangle=b*h/2

b = (x-2) m

Area = (x²-4) m²

h=?

(x²-4) = (x+2) * h/2

but remember that

(x²-4) = (x+2) * (x-2)

so

subsititute

(x+2) * (x-2) = (x+2) * h/2

(x-2) = h/2

h=2 * (x-2)

the answer is

the height of a triangle is 2 * (x-2)