Question

The base of triangle is 5cm greater than the height. The are a is 33cm^3. Find the height and the length of the base.

Answer 1

pardon but area not can being cm*3

Answer 2

Given area of a triangle = 1/2(bh) and a base that is 5 greater than its height, we have b=h+5 (use this to get one variable)
33cm^2 = (1/2)(bh) or 33 = (1/2)(h(h+5) ---Remember the h+5 is still the base
33=(1/2)(h^2+5h)
Multiply both sides by 2 to get
66=h^2+5h
subtract 66 from both sides to get a quadratic equation:
h^2+5h-66=0
Factor to (h+11)(h-6)=0; so h=-11 or h=6
since you can't have a negative height, pick h=6
Substitute b=h+5 to get b = 6+5 = 11
Answers: h=6, b=11
Check answers by inputting into A=(1/2)(bh) or A = (1/2)(66)=33