Pythagorean Theorem & Special Right Triangles Practice

^{Find the missing side}

• 11

• 61

• $\sqrt{61}$

• $\sqrt{11}$

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Determine the length of the missing side.

• 7

• 8

• 17

• 23

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?

• 210 m
• 180 m
• 150 m
• 79 m

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

State if the three sides lengths form an acute, obtuse, or right triangle:
6 mi, 14 mi, 17 mi

• acute
• obtuse
• right

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

• acute
• obtuse
• right

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

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

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in
• 12.4 in
• 13.6 in 
• 14.3 in