Question

Sj2dg3h3fvehdvddddddddddddd-=

Answer 1

`\overline {AD}` = 5

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.