Question

Find the perimeter of the right triangle. If necessary, round to the nearest tenth. A right triangle with side 12 inches, side 5 inches, and blank hypotenuse.

1) 13 in.
2) 169 in.
3) 60 in.
4) 30 in.

Answer 1

The perimeter of the right triangle is 30 inches.

Step-by-step explanation:

To find the perimeter of a right triangle, you need to add up the lengths of all three sides. In this case, the given sides are 12 inches and 5 inches, and you are asked to find the length of the hypotenuse. According to the Pythagorean theorem, the sum of the squares of the two legs is equal to the square of the hypotenuse. So, you can use the formula a^2 + b^2 = c^2 to find the length of the hypotenuse. Substituting the values, we get 12^2 + 5^2 = c^2, which simplifies to 144 + 25 = c^2, and further simplifies to 169 = c^2. Taking the square root of both sides, we get c = √169, which is 13 inches. Therefore, the length of the hypotenuse is 13 inches. Since the perimeter is the sum of all three sides, the perimeter of the right triangle is 12 + 5 + 13 = 30 inches.