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**+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 " .

6^{2} + x^{2} = 12.3^{2} Subtract 6^{2} from both sides.

x^{2} = 12.3^{2} - 6^{2} Simplify

x^{2} = 151.29 - 36

x^{2} = 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

#1**+1 **

Best Answer

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 " .

6^{2} + x^{2} = 12.3^{2} Subtract 6^{2} from both sides.

x^{2} = 12.3^{2} - 6^{2} Simplify

x^{2} = 151.29 - 36

x^{2} = 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