#### 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

5

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.

Is there an error in this question or solution?

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.