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Mathematics

1 answer:

ivanzaharov [21]3 years ago

7 0

The measure of EC is 1 ft.

Solution:

Given data:

AD = 8 ft, DB = 2 ft, AE = 4 ft

To find the measure of EC:

Using triangle proportionality theorem,

<em>If a line is parallel to one side of a triangle intersects the other two sides, then it divides the two side proportionally.</em>

$$\frac{AD}{DB} =\frac{AE}{EC}$

$$\frac{8}{2} =\frac{4}{EC}$

Do cross multiplication.

$8EC=2\times 4$

8 EC = 8

Divide by 8 on both side of the equation, we get

EC = 1

EC = 1 ft

Hence the measure of EC is 1 ft.

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