1 Write dowp tpo rotio for cosD in \( \triangle A C D \).
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The Deep Dive
To find the ratios for cosD in triangle ACD, we can use the definition of the cosine function in relation to a right triangle. The cosine of angle D (cosD) is equal to the length of the adjacent side (AC) divided by the length of the hypotenuse (AD). Therefore, the ratio can be expressed as: \[ \cos D = \frac{AC}{AD} \] This formula is applicable when triangle ACD contains a right angle at C, ensuring that sides AC and AD are correctly identified in relation to angle D! For some fun with triangle properties, remember that the sum of angles in any triangle always equals 180 degrees! So if you know angles A and C, you can easily find angle D. Isn’t geometry a neat puzzle?
