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dmitriy555 [2]
2 years ago
11

Sj2dg3h3fvehdvddddddddddddd-=

Mathematics
1 answer:
wlad13 [49]2 years ago
7 0

Answer:

\overline {AD} = 5

Step-by-step explanation:

From the given diagram we are required to find the length of \overline {AD}

The given parameters are;

ΔABC and ΔCDA are congruent

The length of \overline {BC} = 5

The length of \overline {AC} = 7

The length of \overline {CD} = 4

From ΔABC ≅ ΔCDA, we have;

\overline {AC} = \overline {AC}  By reflexive property

∴ \overline {BC} = 5 is either equal to \overline {AD} or \overline {CD}

However, \overline {CD} = 4, therefore, \overline {BC} ≠ \overline {CD}

We can then have;

\overline {BC} = \overline {AD} = 5.

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