Pythagorean and Inequality Triangle Theorems

Identify the shortest side measure.

• QP

• QM

• MP

List the side measures in order, shortest to longest.

• QM, QP, MP

• MQ, MP, QP

• MP, MQ, QP

Identify the longest side measure.

• AC

• BA

• BC

Identify the smallest angle.

• ∠A

• ∠B

• ∠C

Determine if it is possible to form a triangle with the given side lengths. 7 yd, 8 yd, 9 yd

• yes

• no

• 5 ft., 8 ft., 15 ft.
• 2 ft., 5 ft., 8 ft.
• 5 ft., 8 ft., 12 ft.

Jonathan drew a triangle with the side lengths of 8 in and 11 in. Which range could he choose from if the third side of his triangle was the longest side?

• 5-18

• 10 - 18

• 14 - 22

• 12 - 18

Which range could be the measurement of the third side of a triangle if the other two sides were 21cm and 15 cm?

• 7 - 14

• 17-22

• 1-5

• 6-14