Vocabulary
Solving for Legs
Solving for Hypotenuse
Formula Components
Right Triangles
100

These are often known as the two shorter sides of a right triangle.

What are legs?

100

This is the measure of the missing leg when one leg=3 and the hypotenuse=5.

What is 4?

100

This is the measure of the hypotenuse when leg=3 and the other leg=4.

What is 5?

100

These are often represented by the letters "a" and "b" when naming sides of a right triangle.

What is a leg?

100

A ladder 30 feet long is leaning against a building just below a window.  The bottom of the ladder is 24 feet from the building.  How high is the top of the ladder?

What is 18 feet?

200

This is the longest side of a right triangle.

What is a hypotenuse?

200

This is the measure of the missing leg when one leg=6 and the hypotenuse=10.

What is 8?

200

This is the measure of the hypotenuse one leg=3 and the other leg=5.

What is the square root of 34?

200

This is the variable (letter) in the Pythagorean Theorem that stands for the length of the hypotenuse.

What is "c?"

200

An anchor line for a tower needs to be replaced.   The tower is 100 feet tall.  The anchor line is 120 feet long. How far from the tower can it be placed, to the nearest tenth of a foot?

What is 66.3 feet?

300

This is the formula for the Pythagorean Theorem

What is a2+b2=c2?

300

This is the measure of the missing leg when one leg=5 and the hypotenuse=13.

What is 12?

300

This is the measure of the hypotenuse one leg=6 and the other leg=7.

What is the square root of 85?

300

This is a term used when describing a number being multiplied by itself.

What is squared?

300

A rectangle has a length of 24 inches and a width of 18 inches.  Find the length of the diagonal.

What is 30 inches?

400

This is the only type of triangle that the Pythagorean Theorem works on.

What is a right triangle?

400

This is the measure of the missing leg when one leg=22 and the hypotenuse=25.

What is the square root of 141?

400

This is the measure of the hypotenuse one leg=10 and the other leg=9.

What is the square root of 181?

400

This is the side that always has the longest length in a right triangle.

What is the hypotenuse?

400

A ladder 20 feet long is leaning against a wall just below a window.  The window is 15 feet high.  Find the distance from the bottom of the ladder to the wall.

What is the square root of 175?

500

If a2 + b2 = c2, then the triangle is a right triangle.

What is the Converse of the Pythagorean Theorem?

500

This is the measure of the missing leg when one leg=11 and the hypotenuse=12.

What is the square root of 23?

500

This is the measure of the hypotenuse one leg=15 and the other leg=22.

What is the square root of 709?

500

This is the operation we use to cancel out an exponent of 2.

What is a square root?

500

A right triangle has three positive integer side lengths.

What is a Pythagorean Triple?

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