After drawing △ ABC, use the ruler to find the measure of the sides that form the obtuse angle. Also, use a protractor to find the measure of the obtuse angle. With these three measures, the second triangle can be drawn.
See solution.
Practice makes perfect
By using a straightedge and a pencil, we will draw an obtuse triangle ABC. Then, with the help of a protractor, we will find the measure of the obtuse angle.
Let's write out our measurements. AB is equal to 2 centimeters, AC is equal to 3 centimeters, and m∠ A is equal to 109^(∘). Let's construct △ XYZ by considering two segments with the measures mentioned before. Then we will connect the common endpoint so that we get an angle of 109^(∘).
Through our construction of the diagram, we can see that △ ABC ≅ △ XYZ. However, to prove this, we need to support the measures with the congruence statement and the part of the triangle that each measure represents. Let's give it a go!
If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
By applying this postulate, we can confirm that △ ABC ≅ △ XYZ.
