Question

1. find br if d is the circumcenter of $\triangle abc$, $cd = 11.1$, and $rd = 5.2$. round to the nearest tenth.
2. find fl if h is the circumcenter of $\triangle efg$, $eh = 5.06$, and $lh = 2.74$. round to the nearest hundredth.

Explanation:

Problem 7:

Step1: Identify circumcenter property

The circumcenter \(D\) of \(\triangle ABC\) is equidistant from all vertices, so \(BD = CD = 11.1\).

Step2: Calculate \(BR\)

\(BR\) is the sum of \(BD\) and \(RD\):
\(BR = BD + RD = 11.1 + 5.2\)

Problem 8:

Step1: Identify circumcenter property

The circumcenter \(H\) of \(\triangle EFG\) is equidistant from all vertices, so \(FH = EH = 5.06\).

Step2: Calculate \(FL\)

\(FL\) is the sum of \(FH\) and \(LH\):
\(FL = FH + LH = 5.06 + 2.74\)

Answer:

Problem 7: \(16.3\)
Problem 8: \(7.80\)