Pythagorean Theorem Test Review

Pythagorean Theorem Test Review

Solving for a missing side of the right triangle

• If you are solving for the hypotenuse, use a²+b²=c²

• If you are solving for a leg, use c²-a²=b²

Multiple Choice

Find the value of x, if needed round to the nearest tenths place.

• 4

• 5

• 4.9

• 5.4

Multiple Choice

Find the value of x, if needed round to the nearest tenths place.

• 9

• 10.1

• 12

• 19.2

Multiple Choice

Find the value of x, if needed round to the nearest tenths place.

• 5.3

• 10

• 7

• 6.7

The converse of the Pythagorean Theorem states....

• If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

• Basically you are given 3 side lengths and are being asked if this is a right triangle.

• You will answer "yes" or "no"

• Do no be fooled by how the triangle is drawn.

Multiple Choice

Do the lengths 7, 10, and 12 make a right triangle?

• yes

• no

Multiple Choice

Do the lengths 40, 42, and 58 make a right triangle?

• yes

• no

Multiple Choice

Do the side lengths 25, 7, and 24 form a right triangle?

• yes

• no

Solving for the distance of the diagonal on a grid

• count the units (squares) for each side length

• us Pythagorean Theorem to solve for the hypotenuse

Multiple Choice

The distance from A to F

• 12

• 11.4

• 9

• 7.2

Multiple Choice

The distance from G to D

• 9.2

• 8

• 13.2

• 6

Multiple Choice

The distance from B to H

• 6

• 8

• 10

• 12

Multiple Choice

Solve

• A

• B

• C

• D

Make sure you pay attention to what the question is asking

In this question you not only have to find the hypotenuse, but you need to determine the difference between the hypotenuse and the sum of the 2 legs.

When solving for the interior diagonal of 3D figures we need a new formula

In class we used a²+b²+c²=d²

Multiple Choice

How long is the bat that fits perfectly across the interior diagonal?

• 58

• 30

• 34

• 26

Multiple Choice

The distance from Troy's house to school is approximately

• 11.7 miles

• 9.4 miles

• 16 miles

• 8 miles

Multiple Choice

• A

• B

• C

• D

• E

Multiple Choice

How long does Maggie's brace need to be for her box?

(not bat, that's a typo)

• 116 inches

• 20.4 inches

• 10.8 inches

• 4 inches

Multiple Choice

Which expression represents the distance between Toby's friend's house and the playground.

• A

• B

• C

• D

Be sure to study for the test tomorrow.

• Let me know if you have any questions.

• You can always review previous days videos.

• Good Luck. Have a great Spring Break.