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If
AE=2,CE=9, and
BE=3, find the length of
bar(DE).

$2$ . If $A E=2, C E=9$ , and $B E=3$ , find the length of $\overline{D E}$ .

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Evaluate expression when two complex numbers are given

Full solution

Q.

2

. If

A E=2, C E=9

, and

B E=3

, find the length of

\overline{D E}

.

Given Values: We know that $AE = 2$ and $BE = 3$ . Since $DE$ is part of $BE$ , we can say $DE = BE - BD$ .
Calculating DE: But we don't have $BD$ . We do have $CE = 9$ , and since $DE$ is also part of $CE$ , we can say $DE = CE - CD$ .
Finding CD: Now, we need to find CD. Since $AE + ED = AD$ and $AD = BE$ , we can say $AE + ED = BE$ . So, $2 + DE = 3$ .

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