The hypotenuse of a right triangle is 17 cm long .If one of th3 remaining two sides is 8 cm Find the length of the other side.
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Step-by-step explanation:
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Step-by-step explanation:
Given:
Hypotenuse = 17cm
One side = 8cm
According to the Pythagoras theorem, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
Let the other side to be found be 'x'
⇒ Hypotenuse² = Length of one side² + Lenth of other side²
⇒ [17]² = [8]² + [x]²
⇒ 289 = 64 + x²
⇒ x² = 289 - 64
⇒ x² = 225
⇒ x = √225
⇒ x = 15
∴ The length of the other side is 15cm
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