Pythagorean Theorem

Basics

100

12²

144

200

16²

256

300

sqrt(841)

What is 29?

400

27²

729

500

sqrt(1764)

42

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 c=20 and b=29.

a = 21

500

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

a = 35

Vocab.

100

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

legs

200

a segment from a vertex of the triangle to the line containing the opposite side and perpendicular to that side

altitude

300

the point where three bisectors of the interior angles of a triangle intersect

Incenter

400

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

Hypotenuse

500

the _______, also known as geometric center or center of gravity of a figure

Centroid

Area

100

What is the area of a triangle with a=5 and b=12?

30

200

What is the area of a triangle with b=6 and c=8?

15.9

300

What is the area of a triangle with a=8 and c=9?

16.4

400

What is the area of an ISOSCELES triangle with congruent legs of 7 cm and the base of 10.4 cm?

24.4 cm

500

What is the area of an ISOSCELES triangle with congruent legs of 5 cm and the base of 7.6 cm?

12.2 cm