Name ______Date ______Pythagorean Theorem – Application Problems DO ALL WORK IN YOUR NOTEBOOK

1) The size of a television screen is given by the length of the diagonal across the screen. If the diagonal of a TV screen measure 42 inches and the height of the screen measure 25 inches, how wide is the TV screen?

2) The window of a burning building is 40 feet 3) Two jets left an airport at the same time. above the ground. The base of the building is One traveled east at 300 miles per hour. 9 ft from the ladder. How long is the ladder? The and one traveled south at 400 miles per hour. How far apart, “as the crow flies”, were the jets at the end of an hour?

4) The picture below shows two poles 12 feet 5) The lengths of the sides of an equilateral apart. One pole is 10 ft and the other 16 ft triangle measure 8 inches. high. A wire is attached between the tops of both poles. What is the length of the a) Find the altitude (height) of the triangle wire between the two poles? b) Find the area of the equilateral triangle.

6) A ramp to the entrance of a newly 7) The plan of a parcel of land is represented constructed building must be built according by trapezoid ABCD in the accompanying to accessibility guidelines stated in the diagram. If the area of ∆ABE is 600 square Americans with Disabilities Act. If the feet, find the minimum number of feet of ramp is 24.1 feet long and the top of the fence needed to completely enclose the ramp is 2 feet off the ground, how far is entire parcel of land, ABCD. the end of the ramp from the entrance? 8) Mr. Gonzalez owns a triangular plot of land BCD with DB = 25 yards and BC = 16 yards. He wishes to purchase the adjacent plot of land in the shape of right triangle ABD, as shown in the accompanying diagram, with AD = 15 yards. If the purchase is made, what will be the total number of square yards in the area of his plot of land, ∆ACD?

9) If a cargo vessel leaves from a loading dock and travels east for 4 miles to dump sand at island A and then proceeds to travel north for 2 miles to pick up sand from island B. How far does the vessel have to travel if it carries the sand from island B straight back to the loading dock?

Are you ready for a challenge?????

10) In the diagram of right triangles ABD and DBC, AB = 5, AD = 4, and CD = 1. Find the length of to the nearest tenth.

11) A straw is placed into a rectangular box that is 3 inches by 4 inches by 8 inches, as shown in the diagram. If the straw fits exactly into the box diagonally from the bottom left front corner to the top right back corner, how long is the straw, to the nearest tenth of an inch?

12) Jerry and Jean Jogger start at the same time from point A shown on the accompanying set of axes. Jerry jogs at a rate of 5 miles per hour traveling from point A to point R to point S and then to point C. Jean jogs directly from point A to point C on at the rate of 3 miles per hour. Which jogger reaches point C first?

Remember: Distance = Rate x Time 1) The size of a television screen is given by the length of the diagonal across the screen. If the diagonal of a TV screen measure 42 inches and the height of the 25 in screen measure 25 inches, how wide is the TV screen? a2 + b2 = c2 252 + n2 = 422 625 + n2 = 1764 -625 -625 The screen is 33.7 in. wide n2 = 1139 n == 33.7 in.

2) The window of a burning building is 40 feet above the ground. The base of the building is 9 ft from the ladder. How long is the ladder? (Draw a picture!!) The ladder is 41 feet

3) Jeffrey hiked 5 miles north, then 7 miles east. “As the crow flies”, how far is he from his starting point? (Draw a picture!!)

He is 8.6 miles

4) Two jets left an airport at the same time. One traveled east at 300 miles per hour. The and one traveled south at 400 miles per hour. How far apart, “as the crow flies”, were the jets at the end of an hour?