# algebra

posted by .

The base of a triangle is 8 cm greater than the height. The area is 64 cm^2. Find the height and the length of the base.

• algebra -

height = X-cm,
Base = (X + 8)cm,

A = bh/2 = (X + 8)X/2 = 64,
Multiply both sides by 2:
(X + 8)X = 128,
X^2 + 8X = 128,
X^2 + 8X - 128 = 0,
(X - 8)(X + 16) = 0,

X - 8 = 0,
X = 8.

X + 16 = 0,
X = -16.

Use the + value of X:
X = 8cm = height.
X + 8 = 8 + 8 = 16cm = base.

## Similar Questions

1. ### algebra

The base of a triangle is 4cm greater than the height the area is 48cm^2 find the height and the length of the base
2. ### Algebra Word Problem

COULD SOMEONE PLEASE HELP ME WITH THIS !!!!!!!!!! The base of a triangle is 3cm greater than the height. The area is 44cm^2. Find the height and length of the base. The height of the triangle is_______ cm The base of the traingle is_______cm
3. ### Algebra

The base of a triangle is 8cm greater than the height. The area is 42cm^2. Find the height and length of the base.
4. ### math

The base of a triangle is 3 cm greater than the height. The area is 14cm^2. Find the length and height of the base.
5. ### algebra 2

ok supposed the base of a triangle is 5 cm greater than the height the area is 52 cm what is the height and length at the base?
6. ### algebra

the base of a triangle is 5cm greater than the height. The area is 33cm^2. What is the height and the length of the base?
7. ### math

The base of a triangle is 5cm greater than the height. The area is 52cm^2. Find the height and length of the base.
8. ### Intermediate Algebra

The base of the triangle is 5 cm greater than the height. The area is 33 cm^2. Find the height and the length of the base. The height of the triangle is ___ cm The base of the triangle is ___ cm
9. ### Math

The base of a triangle is 6cm greater than the height. The area is 20cm^2. Find the height and the length of the base.