Question

Determine a value for b such that a triangle with A = 45° and a = 3 has no solution. Round your answer to the nearest hundredth.

Answer 1

For no triangle, you need h > a, or h > 3, right?

Answer 2

yeah

Answer 3

Notice your triangle with h as a side has a 45 deg angle and a 90 deg angle, right?

Answer 4

yes

Answer 5

That means you have a 45-45-90 triangle.

Answer 6

In a 45-45-90 triangle, what is the ratio of the lengths of the sides?