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# Some Question and Their Alternative Answer Are Given. in a Right Angled Triangle, If Sum of the Squares of the Sides Making Right Angle is 169 Then What is the Length of the Hypotenuse? - Geometry

ConceptApollonius Theorem

#### Question

Some question and their alternative answer are given. Select the correct alternative.

In a right angled triangle, if sum of the squares of the sides making right angle is 169 then what is the length of the hypotenuse?

• 15

• 13

• 12

#### Solution

According to the pythagoras theorem,
Sum of the squares of the sides making right angle is equal to the square of the third side.

∴ 169 = square of the hypotenuse
⇒ Length of the hypotenuse = $\sqrt{169}$

= 13

Hence, the correct option is 13.

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#### APPEARS IN

Solution Some Question and Their Alternative Answer Are Given. in a Right Angled Triangle, If Sum of the Squares of the Sides Making Right Angle is 169 Then What is the Length of the Hypotenuse? Concept: Apollonius Theorem.
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