Question

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10). The hypotenuse of a right triangle is 17 cm long . If one of the remaining two sides is of length 8 cm , Find the length of the third side ?

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Answer 1

Given :

• The hypotenuse of a right triangle is 17 cm long.
• If one of the remaining two sides is of length 8 cm.

To Find :

• Find the length of third side ?

Solution :

• Let the third side be x.

Using Pythagoras Theorem :

➣ (h)² = (a)² + (b)²

➣ (17)² = (8)² + (x)²

➣ 289 = 64 + (x)²

➣ 289 - 64 = (x)²

➣ 225 = (x)²

➣ √225 = x

➣ x = 15cm

Hence,

• The length of third side is 15cm.