Question

Find the length of LM. Show your work.

Answer 1

Answer:

LM = 20

Step-by-step explanation:

Use the Sine rule to calculate the length of LM

We require to find ∠N using sum of angles in a triangle.

∠N  = 180° - (53 + 44)° = 180° - 97° = 83°, then

$\frac{LN}{sin44}$ = $\frac{LM}{sin83}$ ( cross- m ultiply )

LM × sin44° = LN × sin83°, that is

LM × sin44° = 14 × sin83° ( divide both sides by sin44° )

LM = $\frac{14sin83}{sin44}$ = 20