algebra

posted by .

The base of a triangle is 3cm grater than the height. The area is 14cm^2. Find the height and length of the base. Please show how you dervied at your answer.

  • algebra -

    h = x-cm
    b = (x + 3) cm
    A = 14 cm^2

    A = h * b / 2,
    x(x + 3) / 2 = 14cm^2
    Multiply both sides by 2:,
    x(x + 3) = 28,
    x^2 + 3x = 28,
    x^2 + 3x - 28 = 0,
    Factor the trinomial:
    (x - 4) (x + 7) = 0,
    x + 7 = 0, x = - 7;
    x - 4 = 0 , x = 4 cm = h,
    x + 3 = 4 + 3 = 7 cm = b



































































































    6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    i have trouble finding the answer to this and how to srt. there is a square and i havbe to find the area. HOweever inside the square is a triangle. the base of the triangle is 3 and the leg is 7. no height is given. plz help. Is this …
  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. 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.
  4. algebra

    The base of a triangle is 3cm grater than the height. The area is 14cm^2. Find the height and length of the base. Please show how you dervied at your answer.
  5. Algebra

    A triangle has an area of 60 in^2. Its base is 10 inches and its height is √x inches. What is the value of x?
  6. 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
  7. Algebra

    Shirley is drawing triangles that have the same area. The base of each triangle varies inversely with the height. What are the possible base and height of a second triangle if the first triangle's base is 12 and its height is 8?
  8. geometry

    the area of a triangle is 27 square feet. its height is three times the length of its base. find the height and base of the triangle. i am unsure of how to set it up, please help
  9. value

    THE BASE OF A TRIANGLE IS 3CM LONGER THAN ITS CORRESPONDING HEIGHT. IFTHE AREA IS 44CM^2. FIND THE LENGTH OF ITS BASE
  10. Algebra - PLEASE HELP!

    Can you PLEASE help me with this problem?

More Similar Questions