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Vocabulary
Triangle Inequality Theorem
Solving for unknown
acute, obtuse or right
Word Problem
100

What are the sides of the triangle next to the right angle?

Legs

100

Tell whether the set of numbers forms a triangle or not

15, 12, 9

TRIANGLE

100

When one leg=3 and the other leg=4 then the hypotenuse=?

5

100

How do you tell if a triangle is right based on its side lengths?

c2=a2+b2

100

Shane marched 3 m east and 6 m north. How far is he from his starting point?

6.71meters

200

What is the side of the triangle across from the right angle? 

Hypotenuse

200

Tell whether the set of numbers forms a triangle or not

5, 10, 15

NOT A TRIANGLE

200

When one leg=3 and the other leg=5 then the hypotenuse=?

square root of 34 or 5.83

200

How do you tell if a triangle is obtuse based on its side lengths?

c2>a2+b2

200

Construction workers are building a ramp. The ramp is 9 feet high and 12 feet long. What is the length of the slanted part of the ramp?

15 feet

300
The spelling of the theorem we have been talking about.
What is p-y-t-h-a-g-o-r-e-a-n.
300

Tell whether the set of numbers forms a triangle or not

8.5, 6.5, 13.5

TRIANGLE

300

When one leg=5 and the hypotenuse=13 then the other leg=?

12

300

How do you tell if a triangle is acute based on its side lengths?

c2<a2+b2

300

Roofers need to know how long of a ladder they need. The roof is 16 feet high and the bottom of the ladder will be placed 12 feet from the building. What is the length of the ladder?

20 feet

400

The only type of triangle you can use the pythagorean theorem on.

Right triangle.

400

Tell whether the set of numbers forms a triangle or not

12, 2.2, 14.3

NOT A TRIANGLE

400

When one leg=21 and the hypotenuse=35 then the other leg=?

28

400

Classify the triangle with the given side lengths as acute, right, or obtuse.

12m, 15m, 8m

Because c2 >a2 +b2 , the triangle is obtuse.

400

If the height of a triangle is 17 inches less than the length of its base and the length of the hypotenuse is 25 inches, find the base and the height.

the base and height of the right triangle are 24 inches and 7 inches respectively.

500

What is the name of the guy who is given credit for discovering the theorem we have been learning about?

Pythagoras

500

The measures of two sides are given. Between what two numbers must the third side fall.

11 and 20

the measurement of the third side should be any number greater than 8 but less than 31

500

When one leg=15 and the other leg=22 then the hypotenuse=?

square root of 709 or 26.63

500

Classify the triangle with the given side lengths as acute, right, or obtuse.

4cm, 6cm, 7cm

The triangle is acute.

500

One of the diagonals of a rectangle is 20 cm long. If the difference between its length and width is 4 cm, then find the area of the rectangle.

the area of the rectangle is 192 square cm.