Answer the following Pythagorean theorem word problems with the formula a^2 + b^2 = c^2 and picture for each. I WILL MARK BRAINLY TO THE ONE THAT ANSWERS ALL THE 13 PROBLEMS WITH THE FORMULA AND PICTURE OF EACH CORRECTLY!
1. Yuki just bought a big screen TV set. The screen has a diagonal measure of 40 inches. If the screen is 32 inches wide, how high is the TV?
2. A 25 foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladder reach?
3. As Greg swam across an 80 meter river, the current carried him 30 metersdownstream. How far did he swim?
4. A rectangle is 6 m wide and 11 m long. How long is the diagonal of the rectangle?
5. A rope is stretched from the top of a 7-foot tent pole to a point on the ground 12 feet from the base of the pole. How long is the rope?
6. The mast of a sailing ship is 20 feet tall. A rope is stretched 26 feet from the top of the mast to a cleat on the deck of the ship. How far is the cleat: from the base of the mast?
7. Each side of an equilateral triangle measures 8 cm. Find the height of the triangle.
8. 2 jets left an airport at the same time. 1 traveled east at 300 mph, the other traveled south at 400 mph. How far apart were the jets at the end of an hour?
9. Kristen and her family left their campsite for a hike. They hiked 5 miles west and then 2 miles north.How far were they from the campsite?
10. The bases on a baseball diarnond are 90 feet apart. How far is it from home plate to second base?
11. 2 trains left Frog City at the same time. 1 traveled north at 70 mph. The other traveled east at 50 mph. How far apart were the trains at the end of 3 hours?
12. The lawn in front of Pythagoras Jr. High is in the shape of a rectangle 24 m long and 10 m wide. How many meters shorter is your walk if you walk diagonally across the lawn rather than around the edge of it?
13. A princess is trapped in a 30 ft. tall castle surrounded by a 15 ft. moat. How tall of a ladder do you need to rescue the princess?
