algebra

posted by .

One side of a triangle is half the longest side. The third side is 9 meters less than the longest side. The perimeter is 61 meters. Find all three sides.

  • algebra -

    c = the longest side

    a = c / 2

    b = c - 9


    P = a + b + c = 61 m

    a + b + c = 61

    c / 2 + c - 9 + c = 61 Multiply both sides by 2

    c + 2 c - 18 + 2 c = 122

    5 c - 18 = 122

    5 c = 122 + 18

    5 c = 140 Divide both sides by 5

    c = 140 / 5

    c = 28 m

    a = c / 2

    a = 28 / 2

    a = 14 m

    b = c - 9

    b = 28 - 9

    b = 19 m

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    Two sides of a triangle are equal in length. The length of the third side is three meters less that the sum of the lengthsof the other two sides.Find the length of the longest side of the triangle if its perimeter is 29 meters. Please …
  2. Pre Algebra

    The first side of a triangle is 8 meters longer than twice the second side. The third side is 3 times the second side. The perimeter is 128 meters. Find the lengths of the three sides.
  3. scc

    One side of a triangle is half the longest side. The third side is 10 meters less than the longest side. The perimeter is 45 meters. Find all three sides
  4. ALGEBRA II

    the perimeter of a triangle is 51 centimeters, the longest side is 1 centimeter less than the sum of the other two sides. twice the shortest is 11 centimeters less than the longest side. find the lengths of each side of the triangle.
  5. math

    the perimeter of a triangle is 54 centimeters. the longest side is 6 centimeters less than the sum of the other two sides. Twice the shortest side is 10 centimeters less than the longest side. Find the lengths of each side of the tirangle
  6. Algebra

    The backyard of a house is in the shape of a triangle. The longest side is 4 ft shorter than twice the shortest side. The third side is 4 ft less than the longest side. If the perimeter of the yard is 162 ft, what are the lengths of …
  7. math

    One side of triangle is one-third the longest side. The third side is 13 feet less than the longest side. The perimeter is 106. Find all three sides.
  8. Math

    One side of a triangle is half the longest side. The third side is 7 less than the longest side. The perimeter is 53 feet. Find the three sides
  9. math

    n a triange the longest side is 2 more than the shortest side. the third side is half of the sum of the longest side, then express the perimeter in polynomial form
  10. Algebra

    the perimeter of a triangle is 56 inches. the longest side measures 4 inches less than the sum of the other two sides. three times the shortest side is 4 inches more than the longest side. find the lengths of the three sides

More Similar Questions