The height of a triangle is 4 m less than its base. The area of the triangle is 48 m2. Find the length of the base.

A.
7 m

B.
8 m

C.
11 m

D.
12 m

Question

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m2. Find the length of the base.
 
 A.
7 m
 
 B.
8 m
 
 C.
11 m
 
 D.
12 m

nurali · Answer

The area of a triangle equals 1/2 times base times height
Let x represent the triangle's base
48 = 1/2 * x * (x-4)
96 = x^2 -4x
x^2 -4x -96 = 0
factor the equation
(x-12) * (x+8) = 0
x=12, x=-8
correct solution is the base equals 12 meters

nurali · Answer

Welcome to Openstudy.

anonymous · Answer

A B C or D?

anonymous · Answer

He just said 12m, try reading the explanation instead of looking for just the answer...

anonymous · Answer

ok thenks sorry i was just skimming i'm kind of in a hurry

nurali · Answer

My Pleasure.