2 years ago

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

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

3 0

Answer:

Two unique triangles possible

Step-by-step 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.

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