Pythagorean Theorem

Vocabulary

100

What is the name of the formula a²+b²=c²

Pythagorean Theorem

200

What type of triangles is Pythagorean Theorem used for?

Right Triangles

300

In the Pythagorean theorem, what are "a" and "b" called? 

Legs

400

In the Pythagorean theorem, what is "c" called?

Hypotenuse

500

We know three numbers represent a right triangle by using the ______ of Pythagorean Theorem.

Converse

Distance

100

Find the distance between the point (-2,1) and (3,-2). Round your answer to the nearest tenth.

5.8

200

Find the distance between (10,11) and (-1,1). Round your answer to the nearest tenth.

14.9

300

Find the distance between (3,-4) and (3,10). Round your answer to the nearest tenth.

14

400

What is the distance between the points (-6,0) and (7,0)?

13

500

What is the distance between the points (-2,5) and (-4,8). Round your answer to the nearest tenth.

3.6

Hypotenuse

100

Use the Pythagorean theorem to find c. 

^{a = 3}

^{b = 4}

5

200

Use the Pythagorean theorem to find c.

a = 6 

b= 8

10

300

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

400

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

500

Use the Pythagorean theorem to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

Legs

100

Use the Pythagorean theorem to find the missing leg for the triangle with c=5 and b=4.

a = 3

200

Use the Pythagorean theorem to find the missing leg for the triangle with a= 8 and c=17.

b = 15

300

Use the Pythagorean theorem to find the missing leg for the triangle with a = 7 and c = 25.

b = 24

400

Use the Pythagorean theorem to find the missing leg for the triangle with b=20 and c=29.

a = 21

500

Use the Pythagorean theorem to find the missing leg for the triangle with c = 37 and b = 12.

a = 35

Classify Triangles

100

Classify the triangle with side lengths 3, 4, 5  by its sides (acute, obtuse, right, or not a triangle)

right

200

Classify the triangle with side lengths 21, 15, 13 by its sides (acute, obtuse, right, or not a triangle)

obtuse

300

Classify the triangle with side lengths 23, 37, 40 by its sides (acute, obtuse, right, or not a triangle)

acute

400

Classify the triangle with side lengths 14, 9, 25 by its sides (acute, obtuse, right, or not a triangle)

not a triangle

500

Classify the triangle with side lengths 2.08, 2.33, 1.05 by its sides (acute, obtuse, right, or not a triangle)

right