A triangle is 7 cm wider than it is tall. The area is 60 cm squared. Find the height and the base.

Question

A triangle is 7 cm wider than it is tall. The area is 60 cm squared2. Find the height and the base.

Answer 1

Let the height H = x and the width W = x + 7, the the area = (1/2)(W)(H) = 60 = (1/2)(x)(x+7) or

x2 + 7x - 120 = 0 Solving for x = 8 or -15 So, x = 8 cm

So, H = 8 and W = 15 cm

Answer 2

b=a+7

area=60

a*(a+7)/2=60

a^2+7a=120

a=8

b=15

c=(64+225)^.5=17