Question

in a right angle triangle if sum of the squares of the sides making right angle is 169 then the then what is the length of the hypotenuse ​

Answer 1

$\bf{\huge{\underline{\boxed{\sf\orange{Answer:\:13\:unit}}}}}$

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$\huge\underline{\tt Explanation:}$

$\sf\green{\underline{Given:}}$

• In right - angled Δ, sum of the square of base and perpendicular sides is 169 unit.

$\sf\green{\underline{To\:Find:}}$

• Length of the hypotenuse side.

$\textsf{\underline{\large{Solution:}}}$  

In a right angled Δ,

The square of perpendicular and base side is equal to the hypotenuse side. i.e,

( Perpendicular )² + ( Base )² = ( Hypotenuse )²

It is given that the sum of the sides making right right anglw is 169.

So,

169 = ( Hypotenuse )²

⇒ Hypotenuse = $\sqrt{169}$

∵ Hypotenuse = 13 unit.

Hence,

ANSWER :

The length of the hypotenuse side is 13 unit.

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