algebra

posted by .

The base of an isosceles triangle and one of its legs have lengths that have consecutive integers. The leg is longer than the base. The perimeter of the triangle is 20. Find the length of each side of the triangle.
*Please help me- I am having a really bad day. Thank you.*

  • algebra -

    Let the base be x units long.
    "Consecutive integers" are one apart, so if the first one is x then the next one must be x+1.

    So the other two sides must be x+1 each.

    Since perimeter is the sum of the 3 sides...
    x + x+1 x + x+1 = 20
    3x + 2 = 20
    3x=18
    x=6

    So the base is 6 and each of the other two sides is 7

    check: 6 and 7 are consecutive integers
    6+7+7 = 20

  • algebra -

    x + x+1 x + x+1 = 20
    In the above, where did you get the 1x from? This is what I came out with:
    x+x+x+1=20

  • algebra -

    It was clearly a typo
    looking at the line that follows should have made it obvious.

    this is what it should have been putting the sides in brackets

    (x) + (x+1) + (x+1) = 20

  • algebra -

    ok I get it. I got x= 6 now i can go from there. Thanjs much for all your help!

  • algebra -

    Would the let statements go like this then:
    Let x= 1st C.I.= 6
    Let x+1= 2nd C.I.= 7
    Let x+1= 3rd C.I.= 7
    b/c the second and 3rd aren't C.i.s, so...????????

  • algebra -

    Read the question carefully.
    You said the triangle was isosceles, so two of its sides have to be the same.

  • algebra -

    yeah, but how do i convey that in the let statements? 7=7, so they aren't consec. integers, right? if so, what do i put instead?

  • algebra -

    i don't know the answer

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    the perimeter of isosceles triangle is 70 d. of the length of a leg of the triangle is 5 dm less than twice the lenth of the base, find the lengths of the sides of the triangle.
  2. geometry

    The perimeter of right triangle RST is equal to the perimeter of isosceles triangle XYZ. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer. what is the greatest …
  3. Math (Geometry)

    The perimeter of right triangle ABC is equal to the perimeter of isosceles triangle DEF. The lengths of the legs of the right triangle are 6 and 8. If the length of each side of the isosceles triangle is an integer, what is the greatest …
  4. Math

    Two isosceles triangles have perimeters of 8 and 15 centimeters, respectively. They have the same base length, but the legs (the non base sides) of the larger triangle are twice as long as the legs of the smaller triangle. For each …
  5. math

    The base of an isosceles triangle is four less than the sum of the lengths of the legs. If the perimeter of the triangle is 44, find the length of the three sides of the triangle.[ Only an algebraic solution will be accepted ]
  6. Math

    1) The hypotenuse of an isosceles right triangle is 8 cm longer than either of its legs. Note that an isosceles right triangle is a right triangle whose legs are the same length. Find the exact length of its legs and its hypotenuse. …
  7. algebra

    This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one of …
  8. Algebra

    The legs of an isosceles triangle are 0.3 foot less than twice the base. The perimeter of the triangle is 4.9 feet. What is the length of one of the triangle’s legs?
  9. algebra,

    This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one of …
  10. Math

    In a diagram of an 2 isosceles triangles, where ABC is a big triangle and a ADE, is just inside the top portion of ABC. Isosceles triangle ABC is similar to a isosceles triangle ADE what is the length of DE, which is the base part …

More Similar Questions