Triangle Classification Theorems Answers

Which set of numbers can represent the side lengths, in inches, of an acute triangle?

Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown.What is the greatest possible whole-number length of the unknown side?

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

The longest side of an obtuse triangle measures 20 cm. The two shorter sides measure x cm and 3x cm.Rounded to the nearest tenth, what is the greatest possible value of x?

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

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.What is the smallest possible whole-number length of the unknown side?

Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.What is the greatest possible whole-number length of the unknown side?

An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.Which best describes the range of possible values for the third side of the triangle?

Which set of numbers can represent the side lengths, in centimeters, of a right triangle?

An acute triangle has two sides measuring 8 cm and 10 cm. What is the best representation of the possible range of values for the third side, s?

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.What is the smallest possible perimeter of the triangle, rounded to the nearest tenth?

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

The longest side of an acute isosceles triangle is 12 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?

A right triangle has side lengths 4 units, 5 units, and x units. It is unknown if the missing length is the longest or shortest side.Rounded to the nearest tenth, what is the difference between the possible values of x?

The shorter sides of an acute triangle are x cm and 2x cm. The longest side of the triangle is 15 cm.What is the smallest possible whole-number value of x?

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.