Similar Triangles

ΔDEF ~ ΔMNK. If DE = 5, MN = 6, then find the value of `"A(ΔDEF)"/"A(ΔMNK)"`

Select the correct alternative answer and write it.

The ratio of corresponding sides of similar triangles is 5 : 7, then what is
the ratio of their areas ?

(A)25 : 49 (B) 49 : 25 (C) 5 : 7 (D) 7 : 5

In the given figure, CB ⊥ AB, DA ⊥ AB.
if BC = 4, AD = 8 then `(A(Δ ABC))/(A(Δ ADB))` find.

Δ ABC ∼ Δ PQR. If A(Δ ABC)=25, A(ΔPQR)=16, find AB : PQ.
(A) 25:16
(B) 4:5
(C) 16:25
(D) 5:4

With the help of the information given in the figure, fill in the boxes to find AB and BC .

AB = BC                    (Given)

∴∠ BAC = ∠ BCA =     
∴ AB = BC =    × AC
=     × `sqrt8`
=        × `2sqrt2`
= 2

In the adjoining figure,
PQ ⊥ BC, AD ⊥ BC,
PQ = 4, AD = 6
Write down the following ratios.
(i)`(A(ΔPQB))/(A(ΔADB))`

(ii)`(A(ΔPBC))/(A(ΔABC))`

In the following figure, state whether the triangles are similar. Give reason.

In the following figure, AP ⊥ BC, AD || BC, then Find A(∆ABC): A(∆BCD).