Summer Creek

posted by .

An isosceles triangle has legs that are each x inches long a base that is y inches long. The perimeter of this triangle is 38 inches. The base is 8 inches shorter than the length of a leg.

  • Math, not Summer Creek -

    2x + y = 38 -----> y = 38-2x

    the base is 8 inches shorter than the length of a leg
    y = x-8

    x-8 = 38-2x
    3x = 46
    x = 46/3 inches
    then y = 38 - 92/3 = 22/3 inches

    perimeter = 2x+y = 92/3+22/3 = 38
    difference between leg and base
    = 46/3 - 22/3 = 8

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    a rectangle and triangle have equal areas.the lenght of the rectangle is 12 inches, and its width is 8 inches.if the base of the triangle is 32 inches,what is the length in inches drawn to the base?
  2. math

    A rectangle and a triangle have equal areas. The length of the rectangle is 12 inches, and its width is 8 inches. If the base of the triangle is 32 inches, what is the length, in inches, of the altitude drawn to the base?
  3. math

    the perimeter of an isosceles triangle is 30 inches. the legs are 1/3 as long as the base. set up an equation to find each side length of the triangle.
  4. geometry

    An isosceles triangle has a perimeter of 147 inches.Each of the two equal lenghts is three times as long as the base.find the length of the base
  5. math

    Monique is using similar triangles in her graphic-design project. The triangles are isosceles. One has a base of 5 inches and legs of 7.5 inches. If the other triangle has a base of 14 inches, how long are the legs?
  6. Math

    1) Rectangle ABCD has a perimeter of 106 inches. If the width is 7 inches, what is the length?
  7. Algebra

    one leg of a right triangle is 9 inches shorter than the other leg. the hypotenuse is 45 inches long how long is the shorter of the legs?
  8. geometry

    if the lengths of the sides of one triangle are 2 inches 5 inches and 7 inches respectively in the shortest leg of a similar triangle is 4 inches what is the perimeter of the second triangle in inches?
  9. Algebra

    The hypotenuse of a right triangle is 13 inches long. The shorter leg is 7 inches shorter than the longer leg. Find the side lengths of the triangle.
  10. Geometry

    1.What is the perimeter of a rectangle with width 10 inches in length 13 inches?

More Similar Questions