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4 years ago

Help! 10 points! In the triangle below, what is the value of x? Show your work.

Mathematics

2 answers:

NARA [144]4 years ago

7 0

Sorry, it’s upside down, if u don’t understand what I did, I can explain further.

svetlana [45]4 years ago

4 0

Answer:

Step-by-step explanation:

Looking at the triangle, to determine x, we would apply the sine rule. It is expressed as

a/SinA = b/SinB = c/SinC

Where a, b and c are the length of each side of the triangle and angle A, Angle B and angle C are the corresponding angles of the triangle.

Therefore

x/Sin60 = 14/Sin45

Cross multiplying, it becomes

x × Sin 45 = 14 × Sin 60

x × 0.7071 = 14 × 0.8660

0.7071x = 12.124

Dividing the left hand side and the right hand side of the equation by 0.7071, it becomes

0.7071x/0.7071 = 12.124/0.7071

x = 17.15

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