Geometry B, Assignment 11. The Pythagorean Theorem

a = 5, b = 12, c =

13

a = 8, b = 15, c =

17

a = 4, b = 4, c =

4 square 2

a = 5, b = 10, c =

5 square 5

b = 9, c = 16 a =

5 square 7

Create the equation to be used to find the missing lengths. Do not solve the equation. Format your answer in the sequence: hypotenuse, unknown leg, known leg.

8^2 = b^2 + 4^2

a = 40, c = 41, b =

9

The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Format your answer in the sequence: hypotenuse, unknown leg, known leg.

9^2 = x^2 + 5^2

The lengths of the sides of a triangle are 3, 3, 3 square 2. Can the triangle be a right triangle?

Yes

The lengths of the sides of a triangle are 3, 4, 5. Can the triangle be a right triangle?

Yes

The lengths of the sides of a triangle are 6, 8, 10. Can the triangle be a right triangle?

Yes

The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. (Enter the smaller leg of the triangle first.)

x^2 = 4^2 + 7^2

The triangle shown is a right triangle. Create the equation to be used to find the missing lengths.

y^2 = 3^2 + 3^2

a = 16, c = 20, b =

12

The lengths of the sides of a triangle are 4, 5, 6. Can the triangle be a right triangle?

No

The Pythagorean Theorem deals with which relationship in a right triangle?

The lengths of the legs and the length of the hypotenuse