Pythagorean Theorem Review

Triangle Angle Sum

100

What do all the anlges of a trianlge add up to?

180

200

What is the measure of angle C? 

Angle A= 37

Angle B= 63

Angle C= ?

Angle C= 80

300

What is the measure of Angle K? 

Angle J= 40

Angle I= 50

Angle K= ?

Angle K=90

400

Triangle LMP is an isosceles triangle, what is the measure of angles M and P? 

Angle L= 100

Angle M= ?

Angle P= ?

Angle M= 40

Angle P= 40

500

Triangle FKD is an equilateral trianlge, what are the measurements of all three angles? 

Angle F= 

Angle K= 

Angle D=

Angle F= 60

Angle K= 60

Angle D=60

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

A right triangle has legs 12 and 15 find the hypotenuse for the triangle using pythagorean theorem.

20

solve2

100

Use the Pythagorean theorem to find a. 

a² + b² = c² 

b=4, c=5 

3

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: 

Pythagorean Theorem can be used with any type of triangle.

False

500

What is the formula for Pythagorean Theorem?

a²+b²=c²

Converse of Pythag

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