Your teacher will grade your responses to questions 6–9 to ensure that you receive proper credit for your answers.
How does the length of the hypotenuse in a right triangle compare to the lengths of the legs?
The length of the hypotenuse in a right triangle is always longer than the lengths of the legs.
In a right triangle, the length of the hypotenuse is always greater than the lengths of the legs.
In a right triangle, the hypotenuse is the side opposite the right angle. To compare the length of the hypotenuse to the lengths of the legs, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
To find the length of the hypotenuse, you can follow these steps:
1. Identify which sides are the legs and which side is the hypotenuse.
2. Measure or determine the lengths of the legs.
3. Square the lengths of the legs.
4. Add the squares of the lengths of the legs together.
5. Take the square root of the sum to find the length of the hypotenuse.
By using the Pythagorean theorem, you can compare the lengths of the legs to the length of the hypotenuse. If the lengths of the legs are equal, the length of the hypotenuse will be greater. If one leg is longer than the other, the hypotenuse will be longer than both legs.