Question

Find the length of the hypotenuse, c c , for the right triangle with sides, a = 5 a = 5 and Round to the nearest hundredth.

Answer 1

Answer:

The length of hypotenuse with sides a = 5, and b = 5 will be 7.07 units.

Step-by-step explanation:

The length of hypotenuse can be easily found out by using Pythagoras' theorem as shown in attached figure (a).

For every right triangle, the Pythagorean theorem can be:

                     c² = a² + b²

In the given right triangle, a = 5 units and b = 5 units,

So,

                       c² = a² + b²

                       c² = (5)² + (5)²

                       c² = 25 + 25

                       c = $\sqrt{50}$

                       c =  7.07 units

So, the length of hypotenuse with sides a = 5, and b = 5 will be 7.07 units.

Keywords: length of hypotenuse, right triangle, Pythagorean theorem.

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