Question

christina and lamar use a ruler and protractor to draw triangles with given conditions. christina is asked to construct a triangle with a 45 degree angle and a 65 degree angle. hoow many different triangles could she draw with these conditions

Answer 1

More than one triangle can be drawn with these conditions

Explanation:

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

In this problem we have a triangle with a 45 degree angle and a 65 degree angle

so

The measure of the third side must be equal to

`180^o-(45^o+65^o)=70^o`

The triangle is a 45°-65°-70°

Remember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

In this problem

I can have as many triangles whose internal angles are congruent and their sides are proportional

therefore

More than one triangle can be drawn with these conditions