AnswersGeometryPretestQuestion 3
3
lesson pretestMultiple Choice

Pretest

Question 3 • Geometry

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?

Answer
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.

Explanation

The longest side is the 20-foot support beam. Since 20² = 400 is greater than 12² + 15² = 369, the triangle is obtuse. To make it a right triangle, the support beam should be √369 ≈ 19.2 feet, so about 20 − 19.2 = 0.8 foot needs to be removed. Thus, it is an obtuse triangle, and about 0.8 foot must be removed.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

lesson pretest
10 verified answers

Pretest

lesson pretest
10 verified answers

Pretest

lesson pretest
10 verified answers

Pretest