Questions: What is the perimeter? If necessary, round to the nearest tenth.

Solution Steps

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 8.8 mi, one leg is 7.6 mi, and the other leg is _b_.

So, we have $8.8^2 = 7.6^2 + b^2$.

$77.44 = 57.76 + b^2$ $b^2 = 77.44 - 57.76$ $b^2 = 19.68$ $b = \sqrt{19.68} \approx 4.4$

The perimeter of a triangle is the sum of all its sides. In this case, it's $8.8 + 7.6 + 4.4 = 20.8$ mi.

Final Answer