Ask Question
2 January, 20:35

The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4 cm, all three sides would be equal. Find the length of the base of the original triangle.

+2
Answers (1)
  1. 2 January, 20:56
    0
    Base of the original triangle is 12 cm.

    Step-by-step explanation:

    Let base of triangle be x

    two equal legs of triangles by y

    therefore perimeter of triangle

    x+y+y = 50 or x+2y = 50

    according to the question

    if base is x+3 and leg is y-4

    then both are equal

    that is x+3 = y-4

    y-x = 7 or y = x+7

    x+2y = 50

    x+2 (x+7) = 50

    x+2x + 14 = 50

    3x + 14 = 50

    3x = 50 - 14

    3x = 36

    x = 12

    therefore base of the original triangle is 12 cm
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The perimeter of a triangle with two equal sides is 50 cm. If its base were lengthened by 3 cm and each leg were shortened by 4 cm, all ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers