Can someone help me figure out what is JK and LK
1 answer:
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 , where capital letters are side lengths and lower case letters are the angles opposite their corresponding capital letter sides.
in this case:
-----> JK =
= 10.524
and
-----> LK =
= 21.065
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Answer:
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Step-by-step explanation:
The law of sines is a property of all triangles that relates the sides and angles of a triangle. This property states the following:
Where side (A) is the side opposite angle (<a), side (B) is the side opposite angle (<b), and side (C) is the property opposite angle (<c).
Substitute each of the sides and respective angles into the formula, and solve for the unknown angle (<x). Please note that a triangle with two congruent sides (referred to as an isosceles triangle) has a property called the base angles theorem. This states that the angles opposite the congruent sides in an isosceles triangle are congruent. Therefore, there can be two (<x)'s in this triangle.
One can shorten the equation so it only holds the parts that will play a role in solving this equation,
Now take the cross product in this equation to simplify it further,
Inverse operations, solve this equation for (x),