Lesson on Pythagorean Theorem

Pythagorean Theorem Intro

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Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

Sides a and b are called legs.

• true

• false

Multiple Choice

The legs form what type of angle?

• Acute

• Obtuse

• Reflex

• Right

Multiple Choice

Side c on a right triangle is ALWAYS the longest.

• true

• false

Multiple Choice

What is always the longest side in a right triangle?

• leg (a)

• leg (b)

• hypotenuse (c)

• depends on the location of the right angle

Multiple Choice

The longest side of a right triangle is DIRECTLY ACROSS from the...

• right angle.

• acute angle.

• obtuse angle.

Multiple Choice

If a right triangle has side lengths 6, 6.7, and 3, which side is the hypotenuse?

• 6

• 6.7

• 3

• 15.7

• None of them

Example 1

Finding the hypotenuse using the Pythagorean Theorem

Multiple Choice

^{Find the missing side}

• 9

• 41

• 6.4

• 6.2

Multiple Choice

Find the length of the missing side.

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Multiple Choice

Calculate the missing length.

• 529 in

• 23 in

• 17 in

• 4.8 in

Example 2

Finding the leg using the Pythagorean Theorem

Multiple Choice

_{^{Find the missing side}}

• 9
• 26.9
• 37
• 18.2

Multiple Choice

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Multiple Choice

Level 2

Solve for the value of y

• 13

• 5

• 23

• 10

Example 3

Converse of the Pythagorean Theorem

Multiple Choice

Do these 3 side lengths form a right triangle?

13, 80, and 81?

• yes

• no

Multiple Choice

Do the segment lengths 15, 9 and, 12 form a right triangle?

• Yes

• No

Multiple Choice

Is this triangle a right triangle?

• yes

• no