# Isosceles Right Triangle: Check your understanding

- Author:
- Leigh Paris, Tim Brzezinski

Move any of the two large points (below) anywhere you'd like at any time.
Slide the black slider to form an isosceles right triangle.
Then, answer the questions that follow.

## 1.

Use the **Angle** tool to measure and display the measures of angles *A* and *B*. What is each angle measure?

## 2.

Suppose *AB* = 10 cm. Determine the length of the hypotenuse AC.

## 3.

Suppose **hypotenuse** A*C* = 4 cm. Determine the length of leg AB.

## 4.

Suppose *AB* = 5 cm. What is the length of BC?

## 5.

Suppose *AB* = 6 cm. Determine the length of the hypotenuse AC.

## 6.

Suppose *AB* = cm. Determine the length of the hypotenuse AC.

## 7.

Suppose hypotenuse *AC* = cm. Determine the length of the leg BC in its **most** simplified radical form.