## What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 5 and 13. How many solutions

Question

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## Answers ( )

Step-by-step explanation:We are given with the two sides of a right angled triangle having lengths of 5 and 13. It is required to find the length of the third side of a right triangle. We know that hypotenuse of right angled triangle is the longest side.

For right angle triangle, we use Pythagoras theorem as :

H²=P²+B²

P is perpendicular distance

B is base

Putting H = 13 and P = 5, then

B² = H²-P²

B² = (13)²-(5)²

B²=144

B=12

So, the length if the third side of a right triangle is 12. It is the only solution.