Question

If Em=11, Am=16,CF=27, What are the lengths of the following sides

Answer 1

We will have the following:

First, we calculate AE as follows:

`AE=\sqrt[]{AM^2-EM^2}`

Now, we replace values and solve it:

`AE=\sqrt[]{16^2-11^2}\Rightarrow AE=3\sqrt[]{15}`

From theorem AE = EC therefore EC = esqrt(15); so, the following is true:

`AC=AE+EC\Rightarrow AC=2AE\Rightarrow AC=2(3\sqrt[]{15})\Rightarrow AC=6\sqrt[]{15}`

Knowing this, we then determine FA as follows:

`FA=\sqrt[]{AC^2-CF^2}`

We then determine BE, DM & CM as follows: