Common Core: 8th Grade Math : Explain a Proof of the Pythagorean Theorem and its Converse: CCSS.Math.Content.8.G.B.6
Study concepts, example questions & explanations for Common Core: 8th Grade Math
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Example Questions
Example Question #11 : Explain A Proof Of The Pythagorean Theorem And Its Converse: Ccss.Math.Content.8.G.B.6
Can the Pythagorean Theorem be used to solve for the missing side length in the triangle provided?
Yes because the triangle is a right triangle
Yes because the triangle is only missing one side length
No because the triangle is not a right triangle
No because the triangle doesn't provide enough information
No because the triangle is not a right triangle
The Pythagorean Theorem states that for right triangles, the square of the hypotenuse is equal to the sum of the square of the other two sides. In other terms:
However, the triangle provided is not a right triangle because there is not an angle that is equal to 
Example Question #12 : Explain A Proof Of The Pythagorean Theorem And Its Converse: Ccss.Math.Content.8.G.B.6
Which answer choice provides side lengths of a right triangle?
In order to solve this problem, we use the converse of the Pythagorean Theorem. We will substitute the given side lengths to determine which three side lengths make the formula for Pythagorean Theorem true. It is important to remember that the hypotenuse will always be the longest side length, so the value for 
Let's plug in the side lengths into our formula and solve:
This means that a triangle that has side lengths of 
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