1,2,3,6
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The common factors of 30 and 42 are 1, 2, 3, and 6.
The greatest common factor is 6.
4x+12-5x-30=-x-18
One third of 18 is 6. 6 goes into 18 three times - 6 + 6 = 12, 12 + 6 = 18.
The longest side of the triangle will always be opposite the largest angle, which is 90° in this case. We can use the sine law to work out the other sides with that: sin(90°) / 18 = sin(60°) / x = sin(30°) / y 1/18 = sin(60°) / x x = 18 sin(60°) x = 18√3 / 2 x = 9√3 1/18 = sin(30°) / y y = 18 sin(30°) y = 9 So the triangle has a sides of 9 and 9√3, with a hypotenuse of 18