Pythagorean Theorem Review

Presentation

•

Mathematics

•

9th - 10th Grade

•

Medium

•

CCSS

8.G.B.7, 8.G.B.8

Standards-aligned

Kairie Rawley

Used 395+ times

FREE Resource

7 Slides • 14 Questions

Pythagorean Theorem Review

Some text here about the topic of discussion

Open Ended

What do you remember about the pythagorean theorem

Type response here

Multiple Choice

Pythagorean Theorem only works on one type of triangle. What kind of triangle does it have to be?

Acute

Right

Obtuse

Hypotenuse- the longest side of a right triangle. This side is always "c"

Legs- the two sides that create the right angle. "a" and "b"

Sides of a Triangle

Multiple Choice

Which side is the hypotenuse?

this side

that side

this other side

This equation can help us find the missing side of a right triangle.

We can also use it to determine if a triangle is a right triangle or not since it only works for right triangles.

Multiple Choice

Which equation below is a correct interpretation of the Pythagorean Theorem for the right triangle pictured on the left? Remember, the hypotenuse is always the longest side of a right triangle.

$x^2+y^2=z^2$

$y^2+x^2=z^2$

$x^2+z^2=y^2$

$y^2+z^2=x^2$

Multiple Choice

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

$8^2+x^2=4^2$

$4^2+8^2=x^2$

$x^2+8^2=4^2$

$x^2+4^2=8^2$

Multiple Choice

In the right triangle pictured on the left, which of the following equations will allow you to successfully solve for the unknown x?

$12^2+16^2=x^2$

$12^2+x^2=16^2$

$16^2+x^2=12^2$

$x^2+12^2=16^2$

1. Write your equation

Square your numbers
Combine like terms
Take the Square Root

Solving for the hypotenuse

Write the equation
Square your numbers
Subtract to get variable alone
Take the square root

Solving for a leg

Multiple Choice

Which equation would you use to solve for x?

$6^2+x^2=8^2$

$6^2+8^2=x^2$

$x^2+8^2=6^2$

Fill in the Blanks

Use the pythagorean theorem to find the missing side length.

Type answer...

Multiple Choice

Which equation would you use to solve for x?

$13^2+x^2=5^2$

$5^2+13^2=x^2$

$x^2+5^2=13^2$

Fill in the Blanks

Use the Pythagorean Theorem to solve for x.

Type answer...

Because we have to end each problem by taking the square root of a number, the answers are not always whole numbers. If the question asks for an exact answer, leave it as a radical. If it asks for a rounded, be sure to round to whatever place it asks for.

Exact vs Rounded

Rounded Answer

Exact Answer

Multiple Choice

Determine the length of the missing side.

Multiple Choice

Find the length of the missing side.

48 in.

52 in.

16 in.

24 in.

Multiple Choice

Find side "h" (wall height)

35.60

35.00

35.71

61.03

Multiple Choice

^{Find the length of the missing side}

108

83.6

Pythagorean Theorem Review

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