Question

Determine whether you can construct many, one, or no triangle(s) with the given description.

A triangle with one angle measure of 60° and one 4-centimeter side.

Answer 1

`\large\boxed{\textsf{Many Triangles.}}`

Explanation:

`\textsf{We are asked how many triangles can be constructed when one angle is 60}^(\circ) \ \textsf{and}`

`\textsf{when one side length is 4 cm.}`

`\textsf{While there are a few restrictions, it's possible to create many other triangles}`

`\textsf{that qualify with the given description. Remember that there are 3 angles and}`

`\textsf{3 sides with a triangle, meaning that the other 2 sides, and angles can have any}`

`\textsf{value as long as they have one angle that is 60}^(\circ) \ \textsf{and one side measuring 4 cm.}`

`\textsf{*Note that they have to qualify as a triangle first.}`

`\large\underline{\textsf{Hence;}}`

`\textsf{Many Triangles can be formed with the given description i\textsf{n}cluded.}`