Question

Sj2dg3h3fvehdvddddddddddddd-=

Answer 1

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.