Question

?ABC has the points A(1, 7), B(-2, 2), and C(4, 2) as its vertices. The measure of the longest side of ?ABC is units. ?ABC is triangle. If ?ABD is formed with the point D(1, 2) as its third vertex, then ?ABD is triangle. The length of side AD is units.

Answer 1

In the image...

Hope this helps!

Explanation:

Answer 2

i. BC

ii. |AD|=|7-2|=5

Explanation:

ABC has the points A(1, 7), B(-2, 2), and C(4, 2).

We use the distance formula to obtain

`|AC|=√((4-1)^2+(2-7)^2)`

`|AC|=√(9+25)`

`|AC|=√(34)=5.8`

`|AB|=√((-2-1)^2+(2-7)^2)`

`|AB|=√(9+25)`

`|AB|=√(34)=5.8`

Using the absolute value method

|BC|=|4--2|=6

The longest side is BC

We use the absolute value method to find the length of AD

|AD|=|7-2|=5