Question

Find the value of cos LL rounded to the nearest hundredth, if necessary.
L
M
N
4
8

Answer 1

I’m missing how the 4 and 8 are placed on the triangle. Could you upload the diagram or say which sides (LM, LN, MN) have length 4 and 8, and whether the triangle is right-angled (and at which vertex)?

If you can’t, here are helpful formulas so you can identify cos(∠L) once you tell me the side placement:

- If the triangle is right and ∠L is the acute angle, then cos(∠L) = (length of the side adjacent to ∠L) / (hypotenuse).

- For a general (non‑right) triangle with side lengths:
- a = length of side MN (opposite ∠L),
- b = length of side LN (opposite ∠M),
- c = length of side LM (opposite ∠N),
use the Law of Cosines:
cos(∠L) = (b^2 + c^2 − a^2) / (2bc).

Give which sides are 4 and 8 (and whether any side is the hypotenuse), and I’ll compute cos(∠L) and round to the nearest hundredth.