Pythagorean Theorem

Vocabulary

100

What is the formula for Pythagorean Theorem?

What is a^2+b^2 = c^2

200

What is the opposite side to the right angle in a triangle called?

What is hypotenuse

300

Angles opposite of a transverse, but in-between parallel lines are called .....

Alternate interior angles

400

 pairs of opposite, non-adjacent angles formed by two intersecting lines, appearing in an 'X' shape

vertical angles

500

What is the formula to calculate distance between two points?

d= sqrt /( y_2- y₁)² + ( x_2- X₁)²

Interior Angles of a Triangle

100

Find the measure of the angles for Triangle ABC if

A= 11

B= 49

C= x

A= 11

B= 49

C= 120

200

Find the measure of the angles for Triangle BAJ if

B= 11

A= 3x

J= 10x

B= 11

A= 39

J= 130

300

Find the measure of the angles for Triangle CTG if

C= 20-x

T= 70

G= 60-x

C= 35

T= 70

G= 75

400

Find the measure of the angles for Triangle NDZ if

N= (16x)

D= (16x)

Z= (13x)

N= 64

D= 64

Z= 52

500

Find the measure of the angles for Triangle JKL if

j= (x+8)

k= (6x-5)

l= (2x-3)

j= 28

k=115

l=37

Is it a Right Triangle

100

A triangle with sides 7, 9, and 11

No because 49+81 =/= 121

200

A triangle with sides 13, 14, 24

No, 169+196 =/= 576

300

A triangle with sides 15, 36, and 39

yesits a right triangle

400

Alex built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle?

Yes because 48²+55²=73²

500

There are three squares that can make triangle when pushed together, the perimeter of each square is below, could the triangle ever be a right triangle? Explain

Square B=48

Square A= 140

Square C=148

yes, 12²+35²=37²

Pythagorean Theorem

100

Find the hypotenuse, c, when a = 3 and b = 4

What is 5

200

Find a if b = 5 and c = 10?

What is 9

300

Find the hypotenuse, when the legs are 8 and 15

 17

400

In a baseball game a batter steps up. The fence is 120ft away from home plate and the fence is 20ft tall. what's the shortest distance he has to hit in order to get a homerun? "round to nearest tenth"

At least 121.7 feet

500

There are three squares that make a triangle when pushed together, the Area of each square is below, what's the area of the missing square (B is the biggest square)

Square B=250

Square A= ?

Square C=120

Square A= 130

Real world problems

100

John leaves school to go home. He walks 6 blocks North and then 8 blocks west. How far is John from the school? *Write your answer in the context of the problem

What is 10 blocks

200

Find the height of a tree if there is a ladder leaning against it that is 10 feet tall and it is 5 feet away from the base of the tree. *Write your answer in the context of the problem

What is 8.7 feet

300

Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and 24 inches in width. Find the diagonal length of the laptop screen. *Write your answer in the context of the problem

What is 26 inches

400

A ladder 13 m long is placed on the ground in such a way that it touches the top of a vertical wall 12 m high. Find the distance of the foot of the ladder from the bottom of the wall. *Write your answer in the context of the problem

What is 5 meters

500

Rachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find the diagonal length of the rug. *Write your answer in the context of the problem

What is 14.2 feet