How do you find the length of the red line segment inside the cube?

1. How do you find the length of the red line segment inside the cube? 5 in

2. In this lesson you will learn how to apply the Pythagorean Theorem to three dimensional figures by creating right triangles.

3. Pythagorean Theorem leg2 + leg2 = hypotenuse2 a2 + b2 = c2 c a leg hypotenuse b leg

4. Length Width Height Edge

5. 6 ft x y 3 ft 7 ft

6. leg2 + leg2 = hypotenuse2 52 + 52 = x2 25 + 25 = x2 50 = x2 5 in 5 in = 5 in 7.1 = x 7.1 in 5 in

7. leg2 + leg2 = hypotenuse2 x 52 + 7.12 = x2 25 + 50.4 = x2 5 in 75.4 = x2 = 8.68… = x 7.1 in 8.7 = x

8. In this lesson you have learned how to apply the Pythagorean Theorem to three dimensional figures by creating right triangles.

9. Find the length of the red line segment inside the rectangular prism. 4 ft 3 ft 7 ft

10. Find the value of x in the diagram below. 4 ft x 3 ft 8 ft

11. Find the length of the red line segment inside the cube. 8 cm

12. Find the length of the red line segment inside the rectangular prism. 10 ft 3 ft 2 ft

13. Find the length of the line segment inside the rectangular prism. 6 ft 4 ft 9 ft

14. Find the length of the red line segment inside the cube. 4 cm