Given the measures of its angles, a triangle can be drawn using a protractor and straightedge. Using these tools, draw a triangle that has angle measures of 52°, 18°, and 110°. If it is possible to draw a triangle with these angle measures, include your drawing in your answer, making sure to label all measurements. In addition, (a) classify the triangle based on its sides and angles, and (b) explain whether the triangle you drew is unique or if more than one triangle with these angle measures is possible.

Question

Mathematics

Nicholas Knox

16 April, 01:16

Given the measures of its angles, a triangle can be drawn using a protractor and straightedge. Using these tools, draw a triangle that has angle measures of 52°, 18°, and 110°. If it is possible to draw a triangle with these angle measures, include your drawing in your answer, making sure to label all measurements. In addition, (a) classify the triangle based on its sides and angles, and (b) explain whether the triangle you drew is unique or if more than one triangle with these angle measures is possible.

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Answers (1)

Know the Answer?

Leonard Cross · Answer 1

We are given three angles:

52°

18°

110°

To determine if these angles can be angles of a triangle, we simply add them and check if the sum is 180

So,

52 + 18 + 110 = 180

A triangle can be constructed using the three angles and this triangle would be scalene and obtuse