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Maharashtra State BoardSSC (English Medium) 10th Standard

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?

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Question

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?

Options

  • 15

  • 13

  • 12

MCQ
Sum
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Solution

13

Explanation:

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

∴ 169 = square of the hypotenuse

⇒ Length of the hypotenuse = `sqrt169` = 13

Hence, the correct option is 13.

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Chapter 2: Pythagoras Theorem - Problem Set 2 [Page 43]

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