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

Question

Mathematics

Gustavo Andrade

7 January, 14:46

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

+1

Answers (1)

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Jadiel Greer · Answer 1

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.