Find the length of the side A’B’ for the congruent triangle.
C = 28 degrees
A = 14
Must show work with answer.
what do you mean "A=14" ? A is a point or and angle.
To find the length of side A’B’ of the congruent triangle, we can use the Law of Sines. The Law of Sines states that for any triangle with sides a, b, c and opposite angles A, B, C, the ratio of the sine of an angle to the length of the opposite side is the same for all three angles:
sin A / a = sin B / b = sin C / c
Given that angle C is 28 degrees, and side A is 14 units, we can let angle A be the opposite of side A (angle A’), and let side A’ be the length we want to find.
From the equation above, we can set up the following ratio:
sin A’ / 14 = sin C / A’
Applying the Law of Sines, we can rearrange the equation:
sin A’ = (sin C / A’) * 14
Now, we can solve for sin A’:
sin A’ = (sin 28 / A’) * 14
To find the value of sin A’, we can use the inverse sine function (sin^(-1)):
A' = sin^(-1)((sin 28 / A') * 14)
Using a calculator, we can find the value of sin A’ and solve for A’. The value of A’ will be the length of side A’B’.
Please note that the above steps provide a general approach to solving the problem. In order to obtain the specific numerical answer, you will have to substitute the values of sin 28 and A' into the equation and perform the calculations.