Posted by **Valentine** on Thursday, March 3, 2011 at 12:02pm.

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 -
**Henry**, Saturday, March 5, 2011 at 3:09am
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.

## Answer This Question

## Related Questions

- Algebra Word Problem - COULD SOMEONE PLEASE HELP ME WITH THIS !!!!!!!!!! The ...
- Intermediate Algebra - The base of the triangle is 5 cm greater than the height...
- Algebra - The base of a triangle is 8cm greater than the height. The area is ...
- algebra - The base of a triangle is 4cm greater than the height the area is 48cm...
- algebra - the base of a triangle is 5cm greater than the height. The area is ...
- algebra 2 - ok supposed the base of a triangle is 5 cm greater than the height ...
- Math - The base of a triangle is 6cm greater than the height. The area is 20cm^2...
- math - The base of a triangle is 5cm greater than the height. The area is 52cm^2...
- math - The base of a triangle is 3 cm greater than the height. The area is 14cm^...
- math - The base of a triangle is 5cm greater than the height. The area is 18cm^2...

More Related Questions