Question

How many triangles exist with the given angle measures? 45 45 90

Answer 1

Technically an infinite amount, but I think you mean there is only one.

Explanation:

If all the angle measures are given, the side lengths can all expand infinitely to provide you with the technical answer of infinite similar triangles. If that is not the case, as you are probably doing a worksheet, there is only one triangle.

Answer 2

Infinitely many

Explanation:

for example,

a triangle of 1 - 1 -
`√(2)` is 45 - 45 - 90 based on the 45-45-90 triangle theorem

if I multiply the three side lengths listed above by the same number, I will still have a 45 -45 -90 because of the definition of similar triangles