Determine the missing legs of a 45 45 90 triangle ex 4

This video tutorial explains how to determine the missing lengths of a 45-45-90 triangle. It begins by introducing the properties of such triangles, where the legs are equal, and the hypotenuse is the leg multiplied by the square root of 2. The tutorial then provides a template for understanding these relationships. The main focus is on calculating the missing leg lengths when given the hypotenuse, using division by the square root of 2. The video concludes with a summary of the steps involved in solving for the missing measures.

What is a key property of the legs in a 45-45-90 triangle?

• The legs are twice the hypotenuse.

• The legs are half the hypotenuse.

• The legs are equal in length.

• The legs are different lengths.

How do you calculate the hypotenuse from the leg length in a 45-45-90 triangle?

• Multiply the leg by 2.

• Divide the leg by 2.

• Multiply the leg by the square root of 2.

• Divide the leg by the square root of 2.

If the hypotenuse of a 45-45-90 triangle is given, how do you find the length of one leg?

• Multiply the hypotenuse by the square root of 2.

• Multiply the hypotenuse by 2.

• Divide the hypotenuse by the square root of 2.

• Divide the hypotenuse by 2.

What is the result of dividing the square root of 8 by the square root of 2?

• Square root of 4

• Square root of 6

• Square root of 16

• Square root of 2

In the example provided, what is the length of each leg if the hypotenuse is the square root of 8?

• 1

• 2

• 3

• 4