The length of m for the given triangle KLM where ∠M=80°, ∠K=39° and length of k = 480cm is equal to 751 cm ( approximately).
As given in the question,
In the given triangle KLM,
Given measures of angles are:
∠M=80° and ∠K=39°
Length of the side k = 480 cm
In triangle KLM,
Side opposite to ∠K, ∠M and ∠L are k , m , and l respectively.
Using sine theorem for triangles we have,
( k / sin K ) = ( m / sin M ) = ( l / sin L )
Here we required :
( k / sin K ) = ( m / sin M )
Substitute the value we get,
( 480 / sin 39° ) = ( m / sin 80° )
⇒ m = ( sin 80° / sin 39° ) × 480
⇒ m = ( 0.9848 / 0.6293 ) × 480
⇒ m = 751.12
⇒ m ≈ 751 cm
Therefore, the length of m for the given triangle KLM where ∠M=80°, ∠K=39° and length of k = 480cm is equal to 751 cm ( approximately).
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