Question

ABC and DEC are right triangles

Answer 1

First find the side EC by setting up ratio. use pythagorean theorem to find the hypotenuse side.

Answer 2

Answer:

Area of triangle DEC =  18.9 square feet

Step-by-step explanation:

Here triangle ABC and DEC are similar triangles.

By similar triangle property,

AB/DE  =  BE/EC        -----------------------(1)

Since AB=20 feet, DE =6 feet and BE = 21 feet  , we need to find EC.

So, Plug these values in the equation (1)

We get,   20/6  =  21/EC

  EC = 21*6 / 20 = 6.3 feet

Now,we will find area of triangle DEC.

area = 1/2 bh  ,

Here b = EC = 6.3 feet

And h = DE = 6 feet

So, Area of triangle DEC = 1/2 * 6.3 * 6 = 18.9 square feet