Pre Assessment Pythagorean Theorem

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?

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance? Hint: Draw a picture!!

• 210 m

• 180 m

• 150 m

• 79 m

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

Name the longest side of a right triangle.

• leg a

• leg b

• leg 

• hypotenuse

Find the perimeter of a triangle that has legs that are 3 cm and 4 cm. Hint: Find the length of the hypotenuse and then add the lengths of all sides together.

• 5

• 7

• 10

• 12

Which set of side lengths does not form a right triangle?

• 38, 80, 90

• 16, 63, 65

• 36, 77, 85

• 14, 15, 29

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

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

• right angle.

• acute angle.

• obtuse angle.

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

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?