One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the
hypotenuse?
2.5 inches
5.0 inches
7.1 inches
9.8 inches

By definition, in an isosceles triangle, the two legs will have congruent lengths.

Since we know that one leg measures 5 inches, we know the other must measure 5 inches as well.

The Pythagorean Theorem states that in a right triangle, a² + b² = c².

Knowing that, we can substitute in our known values.

(5)² + (5)² = c²

From there, we can square our values.

(25) + (25) = c²

And from there, we can add the values together.

(50) = c²

Finally, we can find the square root of both values to give us the length of the hypotenuse.

7.07106781187 = c

And since we're rounding to the nearest tenth, we can rewrite this answer as:

7.1 = c

Therefore, the approximate length of the hypotenuse is 7.1 inches.

Hope this helped! :)

Hello

Step-by-step explanation:

Answer is C

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