Question

if Δabc ~ Δdec, what is the value of ×?

Answer 1

As /\ABC and /\DEC are similar
=> AB /DE = BC/EC = AC/DC
=> AB/DE = AC/DC
=> AC/DC = AB/DE
Taking Reciprocal on both sides we get
=> DC/AC = DE/AB
=> X/ 22 = 21/14
=> X = ( 21 x 22 ) / 14
= 33
so, X = 33 in