I believe the correct image of the triangle is the one I
attach (see attached pic).
Since we know that:
m ∠ABD = m ∠ACE
where m stands
for measure of the angle
Then we can
also say that:
m ∠ADB = m ∠ AEC
By virtue of
two similar angles of two triangles, therefore we can say that Δ ABD and Δ ACE
are congruent triangles. Hence the ratios of the sides of the triangles are
equal, that is:
AB / BC = AD /
DE = CE / BD
where AD = x,
hence:
AB / BC = x /
DE = CE / BD
Calculating
for x using the the right equality:
x / DE = BD /
CE
x / 2.7 = 7.4
/ 5
x = 3.99 cm = 4
cm
