Pythagorean Pre-Assessment

_{^{Find the missing side}}

• √29.2

• √400

• √20

• √10

How far does the catcher throw the ball from home plate to 2nd base? 

• 63.6 ft

• 16,129 ft

• 13.4 ft

• 127.3 ft

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

• Divide both sides by 2

• Take the square root of both sides

A 14-foot ladder is leaned against a wall. If the base of the ladder is 6 feet from the wall, how high up the wall will the ladder reach?

Joel and Levi spotted a bear in the woods while riding their bikes. Joel took off 3 miles north and Levi rapidly pedaled 2 miles east away from the bear. How far apart are the two boys?

When do we use the Pythagorean Theorem?

• To find a missing angle in a right triangle

• To find the missing length of a right triangle

• To find the area of a right triangle

• To find the slope of a right triangle

Find the length of the missing side

• 48

• 108

• 83.6

• 72

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

What is a right triangle?

• A triangle where all sides equal 90 degrees

• A triangle where every angle is 90 degrees

• A triangle where all three sides are equal

• A triangle where there is a 90 degree angle

Find the length of the missing side. 

• 20 in.

• 68 in.

• 16 in.

• 80 in.