AnswersGeometryTriangle Classification Theorems

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8 verified answers
3

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 7 feet need to be removed from the 20 -foot board to create a right triangle.
B
It is an obtuse 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 0 point 8 foot needs to be removed from the 20 -foot board to create a right triangle.
D
It is an acute triangle. About 7 feet need to be removed from the 20 -foot board to create a right triangle.
6

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

A
obtuse, because 6 squared plus 10 squared is less than 12 squared
B
obtuse, because 6 plus 10 is greater than 12
C
acute, because 6 squared plus 10 squared is less than 12 squared
D
acute, because 6 plus 10 is greater than 12
7

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

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

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