Question

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?​

Answer 1

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13 Is The Length of the Hypotenuse

$\huge\sf{Explanation :}$

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Answer 2

Given :-

• In a right angled triangle, if sum of the squares of the sides making right angle is 169.

To Find :-

• Length of the Hypotenuse = ?

Answer :-

• Length of the Hypotenuse =

Explaination :-

Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle, i.e :

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

It is given in the question that the sum of the square of the sides making right angle traingle is 169.

So,

→ 169 = (Hypotenuse)²

→ √169 = Hypotenuse

→ Hypotenuse = √169

→ Hypotenuse = 13 units.

Therefore,Length of the Hypotenuse is 13 units.