Simply get the value of the angle and distribute away.
![\bf 3[cos(270^o)+i~sin(270^o)\implies 3[0+i( -1)]\implies 3-3i](https://tex.z-dn.net/?f=%5Cbf%203%5Bcos%28270%5Eo%29%2Bi~sin%28270%5Eo%29%5Cimplies%203%5B0%2Bi%28%20-1%29%5D%5Cimplies%203-3i)
Each leg of a 45 45 90 triangle measures 12cm what is the length of the hypotenuse
2 answers:
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Answer:
KL = = 17.93
MK = = 25.36
Explanation:
According to the Law of Sines:
where:
A, B, and C are angles
a, b, and c are the sides opposite to the angles
First of all, let's find m∠L: the sum of the angles of a triangle is 180°, therefore
m∠K + m∠L + m∠M = 180°
m∠L = 180° - m∠K - m∠M
m∠L = 180° - 105° - 30°
m∠L = 45°
Now, we can apply the Law of Sines to our case (see picture attached):
Let's solve one side at the time:
MK = = 25.36
Similarily:
KL = = 17.93
