The Pythagorean Theorem

Basic Facts about PT

100

In the Pythagorean theorem a²+b² = c² , what are a and b called? 

Legs

200

In the Pythagorean theorem a² + b² = c², what is "c" called?

Hypotenuse

300

True or False:

Pythagorean Theorem can ONLY be used with right triangles.

True

400

True or False: 

Pythagorean Theorem can be used with equilateral triangles.

False

500

What is the name of the man that the Pythagorean theorem is named after?

Pythagoras

Is it a right triangle?

100

Do the three sides make a right triangle?

10, 13, 15

No; Acute

200

Do the three sides make a right triangle?

5, 12, 13

Yes

300

Do the three sides make a right triangle?

8, 9, 10

No; Acute

400

Do the three sides make a right triangle?

48, 73, 55

Yes

500

Do the three sides make a right triangle?

12, 14, 16

No

Find the missing side

100

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with legs 3 and 4 inches long

5

200

Triangle with a leg of 3 and hypotenuse of 10. What is the length of the other leg?

9.5

300

Triangle with a leg 9 and hypotenuse of 41. What is the length of the other leg?

40

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle has sides 9 and 12

15

500

Triangle with side leg of 15 and hypotenuse of 17. What is the length of the other leg?

8

Word Problems

100

Frank wants to make a model pyramid. If the legs are 15 in and 11 in, then what is the diagonal of the pyramid?

Hypotenuse = 18.6

200

Coach Ramirez is having his players run the length of the field for 90 yards then jog the diagonals for 150 yards. How many yards will they walk if they walk the widths?

Leg = 120

300

A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?

Leg = 12 feet

400

Francis is making a model airplane and is making the wings. What is the length of the wing if the diagonal part of the wing is 36 cm and the horizontal part of the wing is 14 cm?

Leg = 33.17 cm

500

Trevor is driving to his job interview. He drove 21 miles north then 20 miles east. How far is his house directly to the interview? 

Hypotenuse = 29 miles

Random

100

Where did Mr. Dodge teach before RUSD?

Fontana

200

Jeff has $5. He buys 3 bags of chips which each cost 70 cents and a soda for $1.20. How much money does he have left?

$1.70

300

What is the name of the currency used in England?

British Pound

400

What is the largest country in the world?

Russia

500

Which RUSD high school is furthest from Sierra?

King