Question

Determine whether the given measures define 0,1,2 , or infinitely many triangles. Justify your answers.

Answer 1

We can form an endless number of triangles when you are given two sides and no measurement of angle i.e a = 25 , b = 21

For Example -

We can chose the value of angle from 0-360 degrees with side length a = 25 and b =21, how many different triangles are possible to create?

Create one of the triangles with a protractor having the side lengths a = 25 m and b = 21 m and angle 12° and third side can be adjusted to your preferred length. You have built a triangle.

Similarly by changing the length of the third side and measure of the angle we will get an entirely new triangle.

It's important to notice that you choose the side lengths and angle. This suggests that you might make a different decision. By employing the same angles, you were able to make an infinite number of different triangles.

Therefore, with simply the measurements of one angle and a side length, we can create an endless number of triangles.

To learn more about, Triangles here

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