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 right triangle with legs (the sides including the right triangle)measuring a length of 33 cm and 6 cm
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

A right triangle is uniquely determined by the lengths of its two legs due to the Pythagorean theorem. Given the lengths of the legs (33 cm and 6 cm), only one right triangle can be constructed, making it impossible to have two noncongruent triangles with these exact leg measurements.

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