# Which triangles in the figure above are congruent and/or similar? Find the value of x, angle #/_ACE# and the area #hat(AEC)#, and #BFDC#.

##### 2 Answers

Assuming:

There are three similar (not congruent) triangles:

#### Explanation:

There are three triangles:

Given that all of them are right triangles and all of them are isosceles. Therefore, all of them have acute angles of

Since all three hypotenuses are different, there are no congruent pairs of them.

**Length** of

Since

**Angle**

**Area** of

**Area** of

We have to subtract areas of

We have a triangle

#### Explanation:

We have a triangle