Question

Find a.
a
3
2 mm
45°
45°
Write your answer in simplest radical form.

Answer 1

I’m missing the diagram so I’m not sure which side is labeled a and which side is 3 or 2 mm. Could you upload or describe the figure (which side/angle each label is next to)?

Meanwhile here are the likely interpretations for a 45°–45°–90° triangle (legs equal, hypotenuse = leg·√2). Use the one that matches your diagram:

- If the two 45° angles make the legs equal and each leg = 3, then the hypotenuse a = 3√2.
- If the two 45° angles make the legs equal and the hypotenuse = 3, then each leg a = 3/√2 = (3√2)/2.
- If each leg = 2 mm, then the hypotenuse a = 2√2 mm.
- If the hypotenuse = 2 mm, then each leg a = 2/√2 = √2 mm.

Tell me which label corresponds to which side (or upload the picture) and I’ll give the single correct value in simplest radical form.