In rectangle ABCD, the diagonal is 13, the side of CD is 5. Find the sine of the ACD angle.
| August 4, 2021 | education
In order to find the sine of the ACD angle, we need to find the AD leg. Let’s use the Pythagorean theorem:
AD = √ (AC² – CD²) = √ (169 – 25) = √144 = 12.
Let’s write down the ratio of the opposite leg to the hypotenuse, this will be the sine of the ACD angle.
Sin ACD = AD / AC = 12/13.
Answer: The sine of the ACD angle is 12/13.
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