Question

How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?

Answer 1

• Two unique triangles possible

Explanation:

Given two sides of 10 cm and one 40° angle

If we use these, we'll get isosceles triangle with:

1. Included 40° angle.

Then the other angles will be same and measure:

• (180° - 40°)/2 = 70°

2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.

The remaining angle will measure:

• 180° - 2*40° = 100°

There no more unique triangles possible, so the answer is two.