The hypotenuse of a right triangle is 17 cm long. If one of the remaining two sides is 8 cm in length, then the length of the other side is________________________
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Answer:
17^2 = 8^2 + x^2
289 = 64 + x^2
x^2 = 289 - 64
x^2 = 225
x = 15
therefore length of the other side = 15 cm
Answered by
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Given : The hypotenuse of a right triangle is 17 cm long.
one of the remaining two sides is 8 cm in length,
To Find : the length of the other side
Solution:
Let say other side = x cm
Using Pythagorean theorem
x² + 8² = 17²
=> x² = 17² - 8²
=> x² = (17 + 8)(17 - 8)
=> x² = 25 * 9
=> x² = 5² * 3²
=> x = 5 * 3
=> x = 15 cm
other side is 15 cm
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