# G.GSRT.5 45-45-90 Triangle: Quick Investigation

- Author:
- Dan Dale, Tim Brzezinski

## 1.

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

## 2.

Suppose *AB* = 3 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.

## 3.

Suppose *AB* = 4 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.

## 4.

Suppose *AB* = 5 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.

## 5.

Suppose *AB* = 6 cm. Use the Pythagorean Theorem to determine the length of the hypotenuse of this isosceles right triangle in SIMPLE RADICAL FORM.

## 6.

Do you notice anything interesting about your results from (2) - (5) above? If so, describe.

## 7.

In your own words, describe the relationship among the lengths of the legs and hypotenuse in any isosceles right triangle.