7-2: Understand the Converse of the Pythagorean Theorem

Kayla has some straws that she will use for an art project. She wants to glue three of the straws onto a sheet of paper, without overlapping, to make the outline of a right triangle. Which three straws could Kayla use to make a right triangle? Explain.

Kayla could use _______ ,_______ , _______ to make a right triangles because _________

Tags

CCSS.8.G.B.8

Drag tiles to complete the equation that relates the side lengths of the right triangle.

a

b

c

Tags

CCSS.8.G.B.8

Is triangle DEF congruent to triangle ABC?

• Yes

• NO

Tags

CCSS.HSG.SRT.B.5

A triangle has side lenghts 4 inches, 5 inches, and 7 inches. Is the triangle a right triangle?

Answer explanation

When trying to determine if is a right triangle and you plug the numbers in to the equation both sides of the equation must be equal. This problem 41 is not equal to 49 this is why is not a right triangle.

The side lengths of a triangle are 6 inches, 4.5 inches, and 3.75 inches. Is this a right triangle?

Answer explanation

When trying to determine if it is a right triangle, plug the numbers into the equation, and both sides of the equation must be equal. This problem, 34.3125, is not equal to 36, which is why it is not a right triangle.

Is the triangle XYZ a right triangle?

Answer explanation

When trying to determine if it is a right triangle, plug the numbers into the equation, and both sides of the equation must be equal. This problem 625 is equal to 625, this is why it is a right triangle.

Construct Arguments: A triangle has side lengths of 3 centimeters, 5 centimeters, and 4 centimeters. Abe used the Converse of the Pythagorean Theorem to determine whether it is a right triangle.
Abe concluded that it is not a right triangle. Is Abe correct? Explain

Abe is (correct or not correct) because___________.

Answer explanation

Always the hypotenuse will be the bigger number. Abe put the 4 as the hypotenuse and it should be the 5. When you solve the problem you get that it is a right triangle.

Tags

CCSS.8.G.B.8

Use Structure When you are given three side lengths for a triangle, how do you know which length to substitute for a, b, or c in the Pythagorean Theorem? Example: Is a triangle with side lengths 8, 9, and 17 a right triangle?

I know the legs are __________ because _____________. And the hypotenuse is _________________ because _______________.

Answer explanation

I know the legs are 8 and 9 because there the smaller numbers. And the hypotenuse is 17 because its the biggest number.

Tags

CCSS.8.G.B.8

Decide if the triangle is a right triangle. Use pencil and paper. How can you use your results to decide if a triangle with side lengths 5​, 12​, and 17 is a right​ triangle? The figure is not drawn to scale.

Tags

CCSS.8.G.B.8

How well do you understand what you learned in the lesson?