Look at the triangles shown below.
z
2
6
E
А
3 D
Which statement is true?
(Ity)
O SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2 6
(aty)
SinceAAEC ~AADB according to the side-angle-side similarity postulate, then
2
9 3
o SinceAAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
6 3
o Since AAEC ~AADB according to the angle-angle similarity postulate, then
(1+y)
NOH OH
T

Answer:c

Step-by-step explanation:

The statement which is true for the given expression triangle is, 9/(x + y) = 3/x. So option c is correct.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. Triangle resemblance is shown here by the symbol "≈"

Given that,

One right angle triangle, ΔAEC

one segment BD which is intersecting sides AC & AE

ΔAEC has one similar triangle inside, which is ΔADB

Triangle ΔAEC and ΔADB similar,

So, we can say ΔAEC ≈ ΔADB

For the given similar triangles,

we can use angle-angle similarity property,

so, AE/AC = AD/AB

⇒ (3+6)/(x + y) = 3/x

⇒9/(x + y) = 3/x

Hence, the Statement C is correct

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