Pythagorean Theorem: Explain the Proof

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Evidence of Learning

A triangle has sides with lengths of 6 meters, 6 meters, and 10 meters. Is it a right triangle? *

1 point

Yes

Which shape does the Pythagorean Theorem deal with? *

1 point

Triangles

Squares

Right Triangles

Cubes

How is the Pythagorean Theorem used? *

1 point

To solve for a missing side length of a triangle

To solve for the area of a right triangle

To solve for a missing side length of a right triangle

To solve for the volume of a triangle

If the equation 5²+12²﹦13² is found to be true, what do we know? *

1 point

The Pythagorean Theorem only works if the hypotenuse is an even number

The Pythagorean Theorem only works if the hypotenuse is an odd number

A right triangle has a hypotenuse of 13 and side lengths of 5 and 12

A right triangle has a hypotenuse of 169 and side lengths of 25 and 144

If the equation 3²+4²﹦5² is found to be true, what do we know? *

1 point

A right triangle has a hypotenuse of 25 and side lengths of 9 and 16

The Pythagorean Theorem only works if the hypotenuse is an even number

A right triangle has a hypotenuse of 5 and side lengths of 3 and 4

The Pythagorean Theorem only works if the hypotenuse is an odd number

A triangle has sides with lengths of 5 centimeters, 11 centimeters, and 14 centimeters. Is it a right triangle? *

1 point

Yes

Can the Pythagorean Theorem be used to solve for the missing side length in the triangle provided? *

1 point

No because the triangle is not a right triangle

Yes because the triangle is a right triangle

No because the triangle doesn't provide enough information

Yes because the triangle is only missing one side length

A triangle has sides with lengths of 3 kilometers, 4 kilometers, and 5 kilometers. Is it a right triangle? *

1 point

Yes

How is the converse of the Pythagorean Theorem used? *

1 point

To determine the a missing side length of a triangle

To determine the a missing side length of a right triangle

To determine if a shape is in fact a triangle

To determine if a triangle is a right triangle

A triangle has sides with lengths of 12 miles, 16 miles, and 20 miles. Is it a right triangle? *

1 point

Yes

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