Question

If a=6 in.
𝑎
=
6

in.
and θ=45°
𝜃
=
45
°
, find the value of c. Round your answer to the nearest hundredth.

Answer 1

I don’t have the diagram/labels — can you tell me whether the triangle is right-angled and which side c is (hypotenuse or leg), or which angle corresponds to a and c?

Common interpretations and results:

- If it’s a right triangle with θ = 45° and a = 6 is a leg, then the triangle is 45°–45°–90° so c (the hypotenuse) = 6√2 ≈ 8.49 in.

- If it’s a right triangle with θ = 45° and a = 6 is the hypotenuse, then a·cos(45°) gives the leg: c = 6·cos45° = 6·(√2/2) = 3√2 ≈ 4.24 in.

If neither of those fits your problem, please paste the diagram or say which angle each side corresponds to and I’ll compute c.