The shorter leg of a right triangle is 9 cm. and the longer leg is 12 cm. How long is the hypotenuse?
ANSWER
The hypotenuse is equal to 15 cm.
SOLUTION
Pythagorean Theorem states that the are of the square on the side of the hypotenuse is equal to the sum of the square on the other two sides of the triangle. Note that the hypotenuse is the longest side of a triangle, hence,
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Verified answer
PYTHAGOREAN THEOREM
The shorter leg of a right triangle is 9 cm. and the longer leg is 12 cm. How long is the hypotenuse?
ANSWER
The hypotenuse is equal to 15 cm.
SOLUTION
Pythagorean Theorem states that the are of the square on the side of the hypotenuse is equal to the sum of the square on the other two sides of the triangle. Note that the hypotenuse is the longest side of a triangle, hence,
c² = a² + b²
c² = 9² + 12²
c² = 81 + 144
c² = 225
√c² = √225
c = 15
Therefore, the hypotenuse is equal to 15 cm.
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