AnswersGeometryTriangle Classification Theorems

Triangle Classification Theorems — Quiz Answers

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5

Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?

A
The triangle is not acute because 2 squared is less than 4 squared plus 5 squared .
B
The triangle is acute because 2 plus 4 is greater than 5 .
C
The triangle is not acute because 2 squared plus 4 squared is less than 5 squared .
D
The triangle is acute because 2 squared plus 5 squared is greater than 4 squared .
6

Which best explains whether a triangle with side lengths 5 cm, 13 cm, and 12 cm is a right triangle?

A
The triangle is not a right triangle because 5 plus 12 is greater than 13 .
B
The triangle is a right triangle because 5 squared plus 12 squared is equal to 13 squared .
C
The triangle is not a right triangle because 5 squared plus 13 squared is greater than 12 squared .
D
The triangle is a right triangle because 5 plus 13 is greater than 12 .
7

Which classification best represents a triangle with side lengths 6 cm, 10 cm, and 12 cm?

A
acute, because 6 plus 10 is greater than 12
B
obtuse, because 6 plus 10 is greater than 12
C
obtuse, because 6 squared plus 10 squared is less than 12 squared
D
acute, because 6 squared plus 10 squared is less than 12 squared
10

Arielle is building the wooden framework for the roof of a house. She needs the angle created by the vertical and horizontal boards of the frame to be a right angle. The height of the vertical board is 12 feet. The length of the horizontal board is 15 feet. The support beam that will connect the ends of the two boards measures 20 feet. Which is true regarding the triangular frame?

A
It is an obtuse triangle. About 0 point 8 foot needs to be removed from the 20 -foot board to create a right triangle.
B
It is an acute triangle. About 0 point 8 foot needs to be removed from the 20 -foot board to create a right triangle.
C
It is an acute triangle. About 7 feet need to be removed from the 20 -foot board to create a right triangle.
D
It is an obtuse triangle. About 7 feet need to be removed from the 20 -foot board to create a right triangle.

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