Some questions and their alternative answers are given. Select th… - Vidyadip

MCQ

Some questions and their alternative answers 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?

A
$15$
✓
$13$
C
$5$
D
$12$

✓

Answer

Correct option: B.

$13$

Given,
Sum of the squares of the sides making right angle $=169$
$\Rightarrow(\text { base })^2+(\text { perpendicular })^2=169$
But we know, By Pythagoras's theorem
$(\text { Hypotenuse })^2=(\text { base })^2+(\text { Perpendicular })^2$
$\Rightarrow(\text { Hypotenuse })^2=169$
$\Rightarrow$ Hypotenuse $=13$ units.

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