The Pythagorean Theorem Applications Quick Term Pythagorean

The Pythagorean Theorem Applications

Quick Term: Pythagorean triplea set of three : positive integers a, b, and c such that a 2 + b 2 = c 2 Example: 32 + 42 = 52

Am I a Pythagorean Triple? 12 m 37 m 35 m

Find the Perimeter and Area STEPS: Find the height of the triangle. Use the height to find the perimeter and area. 17 cm 15 cm

Find the perimeter and area: 74 ft 70 ft

Steps Read the problem all the way through once. Read it again and pick out the important info. Draw a picture (if possible). Write down what you know. Check to make sure you solved for what the question asked for.

Let’s Play Ball!! You've just picked up a ground ball at first base, and you see the other team's player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?

Locked out! You're locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?

Boating… You and your friend live on opposite sides of a lake. To ride your bicycle to your friend’s house, you travel 0. 5 mile directly east, then 1. 2 miles directly south. How far is it to your friend’s house by boat?

Answer: a 2 + b 2 = c 2 0. 52 + 1. 22 = c 2 0. 25 + 1. 44 = c 2 1. 69 = c 2 1. 3 = c

Jogging Jaime and Tara jog together in a park. Jaime is tired and walks directly from A to C. Tara jogs from A to B and then to C. About how much farther does Tara go from A to C than Jaime? C 500 m A 1000 m B

a 2 + b 2 = c 2 10002 + 5002 = c 2 1, 000 + 250, 000 = c 2 1, 250, 000 = c 2 1118. 03 m = c 1500 -1118 = 382 m

Go West! In the Old West, settlers often fashioned tents out of a piece of cloth thrown over tent poles and then secured to the ground with stakes forming an isosceles triangle. How long would the cloth have to be so that the opening of the tent was 4 meters high and 6 meters wide?

a 2 + b 2 = c 2 32 + 4 2 = c 2 9 + 16 = c 2 25 = c 2 5 m = c 10 m of cloth

Swimming! Scott wants to swim across a river that is 400 meters wide. He begins swimming perpendicular to the shore he started from but ends up 100 meters down river from where he started because of the current. How far did he actually swim from his starting point?

a 2 + b 2 = c 2 4002 + 1002 = c 2 160, 000 + 10, 000 = c 2 170, 000 = c 2 412. 31 m = c

Write your own problem! Now, write your own word problem that involves the Pythagorean theorem. Make sure it makes sense because you will be sharing these with your partner.