posted by .

The ratio of the perimeter of triangle KLM to the perimeter of triangle PQR is 5/3 and LM is 4 less than twice QR. Find LM and QR, if Triangle KLM~Triangle PQR.

Can someone solve this in ratio and proportion method? Thanks.

  • MATH -

    QR = X,
    LM = (2X - 4),

    (2X - 4) / X = 5/3,
    Cross multiply:
    6x - 12 = 5x,
    6x - 5x = 12,

    x = 12 = QR.

    2X - 4 = 2*12 - 4 = 20 = LM.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Geometry 10th grade

    Find the perimeter or given triangle. KLM if JHG~KLM, KM=6, HJ=3, JG= 4, and GH=6. The biggest triangle is FHL. KLM is part of right corner of the big triangle and JHG is the left corner of the big triangle.
  2. Pythagorean Theorem

    Pythagorean Theorem - david, Thursday, July 15, 2010 at 2:10pm EFG 3,6,9 HIJ 60,156,144 KLM 56,102,105 NOP 36,48,64 The following are the lengths of the sides of four triangles. Which is a right triangle?
  3. geometyr

    determine the perimeter of triangle KLM, if triangle KLM-triangle FGH, FG=30, GH=38, FH=38 and KL=24
  4. geometry

    if triangle FGH~ to Triangle PQR, FG = 6, PQ = 10 and the perimeter of trinagle PQR is 35 find the perimeter of triangle FGH
  5. logic

    a student is using a geometry program to investigate the midsegments of a triangle. the student uses the program to draw triangle ABC, bisect the sides of the triangle, and draw segments connecting the midpoints to form triangle KLM. …
  6. Geometry

    1. If triangles EIO = UAN, EI = 3x-4, IO = 2x+5, UA = 2x+3 and UN = 3x+1, solve for the value of x, find the perimeter of triangle UAN and identify the smallest angle in triangle EIO. 2. If triangle FAT is equal to triangle GRC, FA …
  7. math

    Given that triangles PQR~STU:triangle #1 sides 8,9,10 triangle #2 3,?
  8. math

    tiangle pqr is an equilateral triangle in a circle. the height of the triangle is 18 cm. the diameter of the circle is 24 cm. find the perimeter of the triangle. can you help me solve this question?
  9. 8th Grade Pre-Algebra

    Triangle PQR is transformed to triangle P'Q'R'. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P'Q'R' has vertices P'(1, −2), Q'(0, 3), and R'(−1, 0). Plot triangles PQR and P'Q'R' on your own coordinate …
  10. Geometry

    in two congruent triangles the ratio of lengths of two corresponding sides is 5:8. If the perimeter of the larger triangle is 10 ft less than twice the perimeter of the smaller triangle find the perimeter of each triangle

More Similar Questions