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.
-An isosceles triangle with two sides of length 4 cm and an apex angle of measure 74°
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

An isosceles triangle with two sides of length 4 cm and an apex angle of 74° can be constructed using a ruler to measure the sides and a protractor to measure the angle. Since the side lengths and apex angle are fixed, only one unique triangle can be constructed, ensuring it is isosceles with the given properties.

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