Finding hypotenuse or leg
Miscellaneous
Pythagorean
Theorem
Word Problems
Angles
Triangle Theorems
100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 inches and 12 inches.

c= 13 inches

100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with a=6 and c=10.

b = 8

100

Is this a right triangle?

Does a2 + b2 = c2

No, not a right triangle.

100

Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?

29.2 meters

100

Name a pair of vertical angles and a pair of supplementary angles.

1 and 3

1 and 2


100

Find the measure of x.

140+22+x=180

162+x=180

x= 18

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6in. and 8in.

10in.

200

What is the formula for the Pythagorean Theorem?

a2 + b2 = c2

200

Determine whether the triangle is a right triangle using the measures.

 

200

An envelope is 11 inches wide and measures 19 inches along the diagonal. How tall, in inches, is the envelope?

15.5 inches

200

Name a pair of alternate interior angles and alternate exterior angles.

3 and 5

1 and 10

200

Solve for x. 

x+55=125

x=70

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9m and c=20m.

a= 17.9m

300

26 inches

300

When using the Pythagorean Theorem, which side does c always have to be?

The hypotenuse and the longest side

300

A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?

12 feet

300

Solve for x. Find the angle measures. 

x=6

angle measures: 65 degrees

300

Solve for x. 

3x+7x+90=180

10x+90=180

10x=90

x=9

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=1cm and c=4cm.

a=3.9cm

400

13m

400

What must be true about your triangle in order to use the Pythagorean Theorem?

It must be a right triangle.

400

Ed is flying a kite with a string 25 meters long. If his friend is directly under the kite 10 m away, how high, in meters, is the kite off the ground?

22.9 meters

400

Solve for x. Find angle measure

x=9

angle measure: 100 degrees

400

Solve for x.

2x+78=132

2x=54

x=27

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

Find the sum of the interior angle measures of a nonagon (a nine-sided polygon).

1,260 degrees

500

Find the measure of the diagonal.

5.39

500

A football field is a rectangle 48 meters wide and 91 meters long. The coach asks players to run from corner to corner diagonally across the field. How far do the players run?

102.9 meters

500

Solve for x. Find angle measure.

x=10

angle measure: 130 degrees

500

Find the sum of the interior angle measures of this polygon.

720 degrees