Assignment - 11. The Pythagorean Theorom

a = 16, c = 20, b =

17

b = 9, c = 16 a =

4√2

a = 4, b = 4, c =

5√5

a = 8, b = 15, c =

5√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

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 Pythagorean Theorem deals with which relationship in a right triangle?

The lengths of the legs and the length of the hypotenuse

a = 40, c = 41, b =

* 12

a = 5, b = 10, c =

* 9

a = 5, b = 12, c =

* √(119)

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

no

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.) Do not solve the equation.

x^2=4^2+7^2

The triangle shown is a right triangle. Create the equation to be used to find the missing lengths. Do not solve the equation.

y^2=3^2+3^2

The lengths of the sides of a triangle are 3, 3, 3√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