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# if the hypotenuse is 12.3 and the adjacent is 6 what is the opposite. c is 90 degrees, a is 60 degrees and b is 30 degrees.

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if the hypotenuse is 12.3 and the adjacent is 6 what is the opposite. c is 90 degrees, a is 60 degrees and b is 30 degrees.

Guest Oct 23, 2017

#1
+5239
+1

Since this is a right triangle, we can use the Pythagorean theorem to find the missing side.

Let's call the missing side length  " x " .

62 + x2  =  12.32        Subtract  62  from both sides.

x2  =  12.32 - 62         Simplify

x2  =  151.29 - 36

x2  =  115.29             Take the positive square root of both sides.

x  =  √115.29   ≈   10.737

But there is a small disagreement here... the side opposite the 30° must be the side with length  6 .

However,  6  is not exactly half of 12.3 . In a true 30-60-90 triangle, the side opposite the 30° angle is half the hypotenuse.

So this can't be exactly a 30-60-90 triangle, but it is close.

hectictar  Oct 23, 2017
Sort:

#1
+5239
+1

Since this is a right triangle, we can use the Pythagorean theorem to find the missing side.

Let's call the missing side length  " x " .

62 + x2  =  12.32        Subtract  62  from both sides.

x2  =  12.32 - 62         Simplify

x2  =  151.29 - 36

x2  =  115.29             Take the positive square root of both sides.

x  =  √115.29   ≈   10.737

But there is a small disagreement here... the side opposite the 30° must be the side with length  6 .

However,  6  is not exactly half of 12.3 . In a true 30-60-90 triangle, the side opposite the 30° angle is half the hypotenuse.

So this can't be exactly a 30-60-90 triangle, but it is close.

hectictar  Oct 23, 2017

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