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

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 does this problem have?

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Alice 11 hours 2021-11-25T12:10:27+00:00 1 Answer 0 views 0

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    2021-11-25T12:11:37+00:00

    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.

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