Question

name date 1. the pythagorean theorem topic practice a. use the image to answer the questions. 1. what type of triangle is shown? 2. what do you call either of the two shorter sides of a right triangle? 3. what is the longest side of the triangle called? 4. label the triangle shown with the name for each side. 5. what is the name of the theorem that could be used to determine an unknown side length on a right triangle? 6. write the formula that can be used to determine an unknown length of a triangle like the one shown.

Explanation:

1. The triangle has a 90-degree right angle marker.
2. The two shorter sides forming the right angle have this standard name.
3. The longest side opposite the right angle has this specific term.
4. Label the two sides forming the right angle as legs, and the longest side opposite the right angle as hypotenuse.
5. This theorem is explicitly referenced in the worksheet title for right triangles.
6. This is the standard mathematical formula for the referenced theorem.

Answer:

1. Right triangle
2. Leg (or leg of a right triangle)
3. Hypotenuse
4. (Label the two sides meeting at the right angle as "Leg" each, and the side opposite the right angle as "Hypotenuse")
5. Pythagorean Theorem
6. $a^2 + b^2 = c^2$, where $a$ and $b$ are the legs, and $c$ is the hypotenuse