Unit 2 Pythagorean Theorem Review

I <3 Math

100

Any number to the zero power is...

example: 4⁰ or x⁰

1

200

What is the opposite of squaring a number?

Square root

300

Round this number to the nearest hundredth

15.785

15.79

400

What invisible operation is shown here

5x

a. addition

b. multiplication

c. subtraction

d. division

multiplication

5x means 5 times x

500

What is the difference between radius and diameter?

see picture for help

radius is half the length of a circle while the diameter is the full length of a circle. 

diameter is double the length of the raidus

solve 1

100

Use the Pythagorean theorem to find c.

 a²+ b² = c²

a = 3, b = 4

5

200

Use the Pythagorean theorem to find c

a²+ b² = c² 

a = 6, b= 8

10

300

A right triangle has legs 5 and 12, find the hypotenuse for the triangle using pythagorean theorem. 

13

400

A right triangle has legs 9 and 12, find the  hypotenuse for the triangle using pythagorean theorem. 

15

500

Sam climbs a tree 10 feet high. He ziplines down 15 feet and lands in the grass. How far is Sam away from the base of the tree? Round to the nearest tenth and include units.

11.2 feet

solve 2

100

Use the Pythagorean theorem to find c. 

a² + b² = c² 

a= 3, b=4

5

200

Use the Pythagorean theorem to find b. 

a² + b² = c² 

 a = 7, c = 25

24

300

Use the Pythagorean theorem to find b, round to nearest tenth. 

a² + b² = c² 

a= 10, c=15

11.2

400

Use the Pythagorean theorem to find a, round to the nearest tenth. 

a² + b² = c² 

c=26,  b=16.

20.5

500

Use the Pythagorean theorem to find a, round to the nearest tenth. 

a² + b² = c² 

 c = 37, b = 15

33.8 

vocab

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

What is the name or type of the triangle used for Pythagorean Theorem?

Right Triangle

400

True or False: 

"c" is always at the bottom of a triangle

False

Is it a right triangle?

100

How can Pythagorean Theorem be used to determine if a triangle is a right triangle. 

If Pythagorean Theorem is true for a triangle then the triangle is a right triangle.

200

Is the triangle formed with side lengths,  6, 10, 13, a right triangle?

No

300

Is the triangle formed with side lengths,  8, 15, 17, a right triangle?

Yes

400

Is the triangle formed with side lengths,  16, 15, 28, a right triangle?

No

500

Is the triangle formed with side lengths,  13, 84, 85, a right triangle?

Yes