Unit 6: Relationships in Triangles Study Guide

The Pythagorean Theorem ONLY works on which triangle?

• obtuse

• scalene

• isosceles

• right

What side(s) will always be the longest on a right triangle?

• The Hypotenuse

• Leg A

• Leg B

• The Right Angle

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

• 9
• 40
• 41

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

• Yes
• No

Do these 3 side lengths form a right triangle?
13, 80, and 81?

• yes
• no

If the sides of a triangle are 7, 24, and 25, is it a right triangle?

• yes
• no

Isabella has sticks that are 10cm, 11cm, and 13cm long.  Can she place the sticks together to form a right triangle?  Justify your answer.

• No, because 10+11 does not equal 13
• No, because 100+121 does not equal 169
• Yes, because there is a small side, medium side and long side
• Yes, because a triangle has 3 sides

Which set of numbers represents the side lengths of a triangle?

• {5,18,13}
• {6,17,22}
• {16,24,7}
• {26,8,15}

Which side lengths would NOT form a triangle?

• {3,4,5}
• {2,5,9}
• {5,10,12}
• {7,9,11}

If the given side lengths of a triangle are 16 and 10 which can NOT be the third side?

• 25

• 22

• 27

• 21