Pythagorean Theorem and Converse Basics

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

• 111.8 yards

• 115 yards

• 127.3 yards

• 119 yards

Find the length of the missing side. 

• 48 in.

• 52 in.

• 16 in.

• 24 in.

The hypotenuse of a right triangle is 18cm. One of the legs is 11cm. Find the length of the other leg.

• 12.4 cm

• 21.1 cm

• 14.2 cm

• Not enough information

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

Given the 3 lengths of a triangle are 6 in, 8 in and 10 in.  Will this make a right triangle?

• yes

• no

• maybe

• 22

Do the segment lengths 9, 12, and 15 form a right triangle?

• Yes

• No

• Maybe

• Pythagoras

Acute, right, or obtuse?

• Acute

• Right

• Obtuse

• I don't know

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

Which set of side lengths form a right triangle?

• 3, 4, 7

• 33, 56, 65

• 66, 72, 97

• 10, 15, 25