Pythagorean Theorem

Finding Side Lengths of Triangles

Review

​Both figures shown here are squares with a side length of a + b. Think pair share what know about these squares from last class.

Which one doesn't belong?

3

4

2

1

Open Ended

Which equation doesn't belong and what is your reason?

​Think: Which triangles are right triangles?

Draw

Circle the triangle(s) that is not a right triangle.

Draw

Label the hypotenuse with the variable c

Draw

Label the hypotenuse with the variable c

Draw

Label the hypotenuse with the variable c

Draw

Label the hypotenuse with the variable c

Open Ended

In a right triangle, does it matter which is a and which is b?

Can compare answer with table partner, by explaining your reasoning.

​

​Try it on your own!

Open Ended

Find the missing side length.

Draw

Draw and label the triangle described. A right triangle has sides of length 2.4 cm and 6.5 cm. 

What is the length of the hypotenuse?

Draw

Find the value of x in the figure. Show your work on the image.

• When you know two sides of a RIGHT TRIANGLE, you can always find the third by using the Pythagorean identity

• a² + b² = c²

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Big Idea