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 11 cm and 11 cm and a nonincluded angle of 46°
A)No such triangle can be constructed.
B)Two or more such noncongruent triangles can be constructed.
C)Exactly one such triangle can be constructed.

Question

Quizplus · Accepted Answer

When two sides and a nonincluded angle are given, it is possible to construct two different triangles if the angle is acute and the side opposite the angle is shorter than the other given side. Here, the angle is 46° (acute), and the sides are equal (11 cm), allowing for two possible configurations.

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