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.

Respond to this Question

First Name
School Subject
Your Answer

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.
  10. Algebra - PLEASE HELP!

    Can you PLEASE help me with this problem?

More Similar Questions