Geometry - Pythagorean theorem, Tri Inequality, & Polygon Angles

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

_{^{Find the missing side}}

• 9

• 41

• 6.4

• 3

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

Find the length of the missing side. 

• 25 cm

• 42 cm

• 52 cm

• 48 cm

Determine if the following set of numbers are Pythagorean Triples.
15, 20, 25

• Yes

• No

Does a triangle with these side lengths exist?
15, 12, 9

• Yes

• No

• I don't know.

Can the sides of a triangle have lengths 3, 4, and 9?

• Yes

• No

Name the largest angle in this triangle.

• ∠D

• ∠E

• ∠F

Identify the shortest side measure.

• QP

• QM

• MP

Given are the lengths of two sides of a triangle. Find the range of lengths for the third side. 7 mm, 4 mm

• more than 3 but less than 11

• more than 11 but less than 3

• less than 3 but more than 11