Question

Is this triangle possible?
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Answer 1

Answer: The triangle is not possible.

Explanation:

1) Find the missing angle

62+59+x=180

x=59

2) Use the Law of Sine to check if the triangle sides are the same.

The Law of sine means that Sine the angle and divide with the side across it will equal to same.

`(sin(x))/(x) =(sin(y))/(y)`

Substitute the numbers.

`(sin(59))/(10) =(sin(62))/(10)`

0.0636 = -0.0739

3) Solve

Since the decimals aren't the same, the triangle is not possible.