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Debora [2.8K]
3 years ago
9

Can someone help me figure out what is JK and LK

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:

JK = 10.524

LK = 21.065

Step-by-step explanation:

all angles in a triangle add up to 180, so angle K = 42.

law of sines states that \frac{A}{sin(a)} =\frac{B}{sin(b)} = \frac{C}{sin(c)}, where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.

in this case:

\frac{15}{sin(42)} = \frac{JK}{sin(28)} -----> JK = \frac{15sin(28)}{sin(42)} = 10.524

and

\frac{15}{sin(42)} = \frac{LK}{sin(110)} -----> LK = \frac{15sin(110)}{sin(42)} = 21.065

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