Questions: If H is the circumcenter of angle BCD. Find each 1. CD 3. HD 5. HG

If H is the circumcenter of angle BCD. Find each 1. CD 3. HD 5. HG
Transcript text: If $H$ is the circumcenter of $\angle B C D$. Find each 1. $C D$ 3. $H D$ 5. $H G$
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Solution

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Solution Steps

Step 1: Analyze the given information

H is the circumcenter of triangle BCD. This means H is equidistant from the vertices B, C, and D. We are given CD = 33, CF = 32, and SG = 58. Since S, G, and J are collinear and SG = 58, it follows that SJ = 58. Also, we are given that CE = 33 and SE = 26.

Step 2: Determine CD

We are given that CD = 33.

Step 3: Determine HD

Since H is the circumcenter, HD is equal to the distance from H to each vertex. Because CE and CD are segments of the same line, and we are given CD = 33, it follows that HD = 33.

Final Answer

  1. CD = 33
  2. HD = 33
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