geometry

posted by .

The base length of the triangle with vertices A(1,1, B(9,1), C(5,5)is multipliend by 2.Describe the effect of the change on the area.

can someone help me on this one.. am stuck

  • geometry -

    A = (b/2) *h,
    Multiply the base by 2 and get:
    A = b*h,
    So the area is doubled.

    Let's calculate the area of the given
    triangle.

    A(1,1), B(9,1), C(5,5).

    AB = 9 - 1 = 8 = base.

    (AC)^2 = (5-1)^2 + (5-1)^2,
    (AC)^2 = 16 + 16 = 32,
    AC = sqrt32 = 5.66.

    (b/2)^2 + h^2 = (AC)^2,
    4^2 + h^2 = 32,
    h^2 = 32 - 16 = 16,
    h = 4.

    A = (b/2) * h,
    A = (8/2) * 4 = 16.

    Double the base:
    A = (16/2) * 4 = 32.

  • geometry -

    The area is multiplied by 4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    How do you find the area of a shaded area in a triangle and assume the area of the largest triangle is one unit?
  2. geometry

    the hight of a triangle is four times the length of the base. find the base and height of the triangle if the area is 18 square inches?
  3. Geometry

    Describe the effect of each change on the perimeter and the area of the given figure. A.The Base and height of the triangle are both doubled B. The radius of the circle with center (0,0) that passes through (5,0) is multiplied by 3/5
  4. geometry

    A right triangle has a base that is 2 more than twice the height. Find the length of the base for the triangle. If the area is 30 square units.
  5. geometry

    14. Question says that there is a triangle with a base of x units and height h units and two sides of length 10 units. Answer the following questions: • Draw a representation of this situation (the triangle). • Find a formula for …
  6. geometry

    Each base of an isosceles triangle measures 42 degrees, 30'. The base is 14.6 meters long. a. Find the length of a leg of the triangle b. Find the altitude of the triangle c. What is the area of the triangle?
  7. Algebra

    I'm stuck!! Can someone please help me with this problem?
  8. Geometry

    The area of a triangle is 96. If the base of a triangle is tripled and the height is reduced to one-third its original length, what is the new area?
  9. math

    The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height is 25 centimeters and its base length is 16 centimeters. What is the …
  10. Algebra - PLEASE HELP!

    Can you PLEASE help me with this problem?

More Similar Questions