Video Lesson Introduction to Pythagorean Theorem

Presentation

•

Mathematics

•

10th Grade

•

Hard

Joseph Anderson

FREE Resource

6 Slides • 26 Questions

Pythagorean Theorem Introduction

Dr. Tom Giles

Multiple Choice

What is the Pythagorean Theorem?

$a^2+b^2=c^2$

There is really only one real option here.

Multiple Choice

What must be true in order for the Pythagorean Theorem to work?

The triangle must be right.

The triangle must be isoceles.

It works every time.

Multiple Select

Which side on a right triangle is ALWAYS the longest side

the side opposite the right angle

Hypotenuse

Fill in the Blanks

In order for the Pythagorean Theorem to work, the triangle must be a

Type answer...

triangle.

Multiple Choice

_{^{Find the missing side}}

6.4

Multiple Choice

a² + b² = c^{2
a = 9 b = 40}

c = 41

c = 65

c = 25

c = 5

Multiple Choice

a² + b² = c^{2
b = 35 c = 37}

a = 12

a = 11

a = 18

a = 14

Multiple Choice

Which side is could we use for c?

Any of them

Multiple Choice

Which side could we use for a?

Any of them

7 or 24

Multiple Choice

Find the length of the missing side.

25 cm

42 cm

52 cm

48 cm

Multiple Choice

What is the longest side of a right triangle called?

Leg A

Leg B

Hypotenuse

Pythagoras' Big Buddy

Multiple Choice

They Hypotenuse of a right triangle is the side across from the:

Right Angle

Smallest Angle

Acute Angle

Hypo Angle

Multiple Choice

Which set of sides would make a right triangle?

4,5,6

8,10,12

5,12,13

5,10,12

Multiple Choice

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

25 feet

26 feet

27 feet

28 feet

Multiple Choice

Find the length of the missing side.

20 in.

68 in.

16 in.

80 in.

Multiple Choice

Find the missing side.

Round your answer to the nearest tenth place.

11.5 ft

11 ft

12 ft

15.6 ft

Multiple Choice

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

6.7

Multiple Choice

Find the hypotenuse in the image shown

15 cm

20 cm

10 cm

9 cm

Multiple Choice

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm.

Multiple Choice

How far did Joshua swim across the pool?

Multiple Choice

Use the Pythagorean Theorem to find the length of side x

x = 14.3

x = 15.3

x = 16.3

x = 17.3

Multiple Choice

What is the length of the unknown side?

32 in.

68 in.

40 in.

80 in.

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse.

When the sum of Leg Sides ≠ Square of Hypotenuse

Multiple Choice

Can a right triangle have sides of length

5, 12, and 13?

Yes.

No.

Multiple Choice

Can a right triangle have sides of length

3, 6, and 9

yes

Multiple Choice

What type of triangle would have side lengths of

3, 6, and 9

Acute

Obtuse

Multiple Choice

State if the three sides lengths form an acute, obtuse, or right triangle:
7 in, 11 in, 13 in

acute

obtuse

right

Pythagorean Theorem Introduction

Dr. Tom Giles

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