Use a ruler, protractor, and compass to construct, if possible, a triangle with the stated properties. If such a triangle cannot be drawn, explain why. Decide if there can be two or more noncongruent triangles with the stated properties.
-A triangle with sides of length 17 cm, 28 cm, and 8 cm
A)Two or more such noncongruent triangles can be constructed.
B)No such triangle can be constructed.
C)Exactly one such triangle can be constructed.

Question

Quizplus · Accepted Answer

A triangle cannot be constructed with the given side lengths because they do not satisfy the triangle inequality theorem. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Here, 17 + 8 = 25, which is not greater than 28.

Use a Ruler, Protractor, and Compass to Construct, If Possible