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18 January, 21:23

In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If b = 77 centimeters and c = 85 centimeters, what is the perimeter? If necessary, round to the nearest tenth.

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  1. 18 January, 21:33
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    The perimeter of the triangle 198 cm.

    Step-by-step explanation:

    Given that,

    In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.

    Pythagorean Theorem:

    Sum of square of the legs is equal to square of hypotenuse.

    ∴a²+b²=c²

    a=?, b = 77 cm and c=85 cm

    a²+77²=85²

    ⇒a²+5929=7225

    ⇒a²=7225-5929

    ⇒a² = 1296

    ⇒a = 36 cm

    The perimeter of the triangle = sum of all sides

    =a+b+c

    = (36+77+85) cm

    = 198 cm
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