Question

Select the correct answer from each drop-down menu.

У 7
5
4
А
3
-1
X
-3
2
14
5
-6
-7
-1
3
6
-4
7
-5
-2
.1
-2c
B
-3
-4
-5
-6
✓ units
The length of side AC is
The area of triangle ABC is
square units.

Answer 1

The length of side AC is 5 units.

The areas of triangle ABC is 10 square units.

Explanation:

From point A (1,3) to point C (1,-2) is 5 units

To check this:

3 - (-2) = 3 + 2 =5

We're subtracting since the point went down (from positive 3 to negative 2)

Now for the area:

Area formula for a triangle:
`(1)/(2)`bh =
`(1)/(2)`⋅b⋅h

We already found the height (length) : 5

The base is from point C (1,-2) to point B (5,-2), which is 4 units

To check this:

5 - 1 = 4

Now that we have found the base and height, Let's solve:

`(1)/(2)`⋅4⋅5 =
`(1)/(2)`⋅20 = 10

Our area is 10 square units.

Hope that helps :)