The Pythagorean Theorem 4/29

The Pythagorean Theorem 4/29

Dr. Williams-Hall

Lesson Objectives

• Understand the converse of the Pythagorean Theorem

• Identify right triangles.

• Find the distance between two points.

• Understand the Distance Formula.

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

What is the value of c?

• √128
• √144
• √150
• √160

Multiple Choice

What is the value of x?

• 78
• 75
• 35
• 100

Multiple Choice

Find h

• 35.60
• 35.00
• 35.71
• 61.03

Multiple Choice

Find the value of x.

• 7
• 8
• 9
• 10

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 sides are the legs of the triangle?

• 9 and 15

• 9 and 12

• 12 and 15

• 15

Multiple Choice

Which side is the hypotenuse?

• 9

• x

• 14

Multiple Choice

_{^{Find the missing side}}

• 9
• 41
• 6.4
• 3

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

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

Find the length of the missing side. 

• 17 cm
• 22 cm
• 15 cm
• 13 cm

Multiple Choice

What is the length of x?

• 5
• 7
• 8
• 25

Multiple Choice

what is the formula for finding the hypotnuse?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Multiple Choice

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

• right angle.
• acute angle.
• obtuse angle.

Multiple Choice

In a right triangle, if a = 8 and c = 17, what is the correct setup to find the value of b?

• $17^2+8^2=b^2$

• $8^2+b^2=17^2$

• $17^2+b^2=8^2$

• $\frac{8^2}{b^2}=\frac{17^2}{100}$

Multiple Choice

Level 1

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right