What is the longest object that will fit

* What is the longest object that will fit inside a 8 -by-10 -by 12 inch box? The longest object that will fit inside this box is a segment with the same length as the space diagonal. So we must find the length of the space diagonal of this box.

Learning Target: I will be able to use the Pythagorean Theorem to solve word problems. - draw a picture - fill in the information given - solve for the missing side - answer the question in context

1. The bottom of a ladder must be placed 5 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?

3. A soccer field is a rectangle 80 meters wide and 150 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

5. How far from the base of the house do you need to place a 25 -foot ladder so that it exactly reaches the top of a 24 -foot tall wall?

7. What is the length of the diagonal of a 18 cm by 16 cm rectangle?

9. The diagonal of a rectangle is 26 in. The width is 10 inches. What is the length?

11. Two sides of a right triangle are 6 and 15. However we don’t know if both are the legs or if one is the hypotenuse. What are the two possible lengths of the missing side? a. Find the missing side if 6 and 15 are legs. b. Find the missing side if 6 and 15 are a leg and hypotenuse.

13. The area of a square is 49 square centimeters. Find the length of a side. Find the length of the diagonal.

15. An isosceles triangle has congruent sides of 15 cm. The base is 12 cm. Find the height of the triangle.

17. A little league baseball diamond is a square that is 60 feet on each side. What is the distance from home to second base?

19. Jill’s front door is 40” wide and 82” tall. She purchased a circular table that is 88 inches in diameter. Will the table fit through the front door? Explain using approximations.

Learning Target: I CAN use the Pythagorean Theorem to solve word problems. - draw a picture - fill in the information given - solve for the missing side - answer the question in context