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Multiple Choice

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

Multiple Choice

What side(s) will always be the longest on a right triangle?

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

Multiple Choice

What is the relationship between the sides in the Pythagorean Theorem shown?

Hint: Think about when the hypotenuse is missing!

• a + b = c

• a² + b² = c²

• a² – b² = c²

• a – b = c

Multiple Choice

Do three squares with side lengths of 6, 12, and 13 form a right triangle?

• Yes
• No

Multiple Choice

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

Multiple Choice

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes
• no

The Pythagorean Theorem

Hypotenuse

• The longest side of a right triangle

• The side that is opposite (across) from the 90^o angle.

• When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.

Is it a Right Triangle?

Multiple Choice

Is this a right triangle?

• Yes

• No

Multiple Choice

Is this a right triangle?

• Yes

• No

The Sides of a Triangle

The shorter sides of the triangle are always the legs.

The longest length of a triangle is always the hypotenuse.

Multiple Choice

Which side is the hypotenuse?

• 9

• x

• 14

Multiple Choice

Which sides are the legs of the triangle?

• 9 and 15

• 9 and 12

• 12 and 15

• 15

How to Solve

1. Determine what side is missing.

2. Plug in what you know into the equation.

3. Simplify the equation.

4. Solve for the missing side.

5. If needed round to the nearest tenth!

Multiple Choice

Which equation can be used to solve for "x"?

• 15² – x² = 21²

• x² – 15² = 21²

• 15² + 21² = x²

• 21² – 15² = x²

Multiple Choice

Determine the length of the missing side.

• 7

• 8

• 17

• 23

Multiple Choice

Find h

• 35.60
• 35.00
• 35.71
• 61.03

Multiple Choice

Find the value of x.

• 7
• 8
• 9
• 10

Multiple Choice

solve for c

• 7
• 9
• 4
• 13

Word Problems

When solving word problems, it helps to draw a triangle and fill in the missing information.

Multiple Choice

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

• 44.1 km

• 59 km

• 47.8 km

• 33 km

Multiple Choice

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner "out"? (Distance across the diagonal)

• 180 feet

• 90 feet

• 13.4 feet

• 127.3 feet

Multiple Choice

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

• 8 feet

• 5.29 feet

• 10 feet

• 14 feet

Poll

How do you feel about applying and using the Pythagorean theorem?

• I am lost

• I think I get it

• I got it

• EASY PEASY

Multiple Choice

Find the missing side length.

• $$\sqrt[]{73}\ cm$$  

• $$\sqrt[]{17}\ \ cm$$  

• $$73\ \ cm$$  

• $$\sqrt[]{13}\ \ cm$$  

Multiple Choice

A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?

• 9ft
• 11ft
• 6ft
• 14ft

Multiple Choice

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Multiple Choice

a = 2.1, b = 7.2, c = 7.5
Is this a right triangle?

• yes 
• no

Multiple Choice

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Multiple Choice

_{^{Find the missing side}}

• 37
• 17.66
• 6
• 312

Multiple Choice

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

• 14
• 10
• 5.3
• 2

Multiple Choice

you ADD a² and c² then take the square root to find b on a right triangle.

• true
• false

Multiple Choice

you ADD a² and b² then take the square root to find c on a right triangle.

• true
• false

Multiple Choice

What is the opposite of squaring a number?

• divide
• multiply 
• fractions
• square root