Ask Question
23 February, 22:22

The legs of a right triangle can be represented by x and (x+2). The hypotenuse is 10 centimeters. Find the length of each leg

+3
Answers (1)
  1. 23 February, 22:39
    0
    6 cm and 8 cm

    Step-by-step explanation:

    Use Pythagorean theorem:

    c² = a² + b²

    10² = x² + (x+2) ²

    100 = x² + x² + 4x + 4

    0 = 2x² + 4x - 96

    0 = x² + 2x - 48

    0 = (x - 6) (x + 8)

    x = 6 or - 8

    x must be positive, so x = 6. Which means x+2 = 8.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The legs of a right triangle can be represented by x and (x+2). The hypotenuse is 10 centimeters. Find the length of each leg ...” 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