Question

Please help answer this​

Answer 1

Answer:

4.8 units^2

Step-by-step explanation:

Hello!  To find the area of this triangle, we need to know both the base and the height.  Neither is specifically given.  

We can find the height (CD) as follows:

3^2 - 1.8^2 = 5.76, so CD has the length sqrt(5.76) = 2.4.

Triangles ACD and ABC are similar.  Therefore, the following equatin of ratios holds:

1.8       CD       2.4

----- = ------- = --------

3.0      AB        AB

Then 1.8AB = 3.0(2.4), or AB = 7.2/1.8 = 4.

So the height of triangle ABC is 2.4 units and the length of the base is 4 units.

Therefore, the area of this triangle is A = (1/2)(base)(height), or

A = (1/2)(4 units)(2.4 units) = 4.8 units^2