Answer:
AE = 10
Step-by-step explanation:
From the given figure we can see that two triangle ABE and DEC are similar.
Therefore the ratio of corresponding sides are equal
To find the value of x
From figure we get,
ED/AE = CD/AB
(x + 6)/(2x + 6) = 8/10
10(x + 6) = 8(2x + 6)
10x + 60 = 16x + 48
16x - 10x = 60 - 48
6x = 12
x = 2
To find the value of AE
AE = 2x + 6 = (2 * 2 ) + 6 = 4 + 6
AE = 10
