Triangle Classification Theorems Answers

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?

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?

A line extends from a side of a triangle.

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?

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

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?

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side at point M.What is the length of ?

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?

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

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