ABC and DEC are right triangles

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doomsday30 doomsday30 · Answer 1 · 2019-01-03T06:31:36+01:00

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

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Alleei Alleei · Answer 2 · 2019-01-08T03:56:38+01:00

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