How to determine the height of a figure using a 45 45 90 triangle ex

The video tutorial explains how to determine the height of a quadrilateral resembling a parallelogram using special right triangle relationships. The instructor demonstrates the process by isolating a 45-degree right triangle from the quadrilateral and using the properties of 45-degree triangles to calculate the missing height. The method involves converting between the hypotenuse and the leg of the triangle using square roots, and rationalizing the denominator to find the final answer.

What is the primary goal when using special right triangles in the context of this problem?

• To measure the angles of the quadrilateral

• To calculate the volume of the quadrilateral

• To find the height of the quadrilateral

• To determine the color of the quadrilateral

Why is it important to isolate the right triangle from the quadrilateral?

• To measure the perimeter of the quadrilateral

• To focus on the relevant parts for calculating height

• To change the shape of the quadrilateral

• To determine the color of the triangle

What is the first step in solving for the missing height using the right triangle?

• Measure the angles of the quadrilateral

• Determine the color of the triangle

• Redraw the triangle with known information

• Calculate the area of the quadrilateral

How do you convert from the hypotenuse to the leg in a 45-degree triangle?

• Add sqrt 2

• Divide by sqrt 2

• Subtract sqrt 2

• Multiply by sqrt 2

What is the final step in finding the height of the quadrilateral?

• Multiply the hypotenuse by 2

• Rationalize the denominator

• Add the angles together

• Subtract the leg from the hypotenuse