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 answer:
Answer:
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.
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