In the figure, ab||cb. if cd: ba = 6: 5 and the area of ced is 288, find the area of bea

The area of BEA is 200 square units.

Step-by-step explanation:

Given information: AB||CD and CD:BA = 6:5.

Let the length of sides CD and BA are 6x and 5x respectively.

If a transversal line intersect two parallel lines, then the alternative interior angles are equal.

            (Alternate interior angles)

            (Alternate interior angles)

            (Vertically opposite angles)

By AAA property of similarity,

The area of two similar triangles is proportional to the square of their corresponding sides.

Divide both sides by 36.

Therefore the area of BEA is 200 square units.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13