Question

sides of two similar triangles are in the ratio 16:25 area of these triangles are in the ratio of?
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Answer 1

Answer:

Step-by-step explanation:

the answer is

1:3

Answer 2

Answer:

Let the triangles be ΔABC and ΔPQR (see figure below, I use Microsoft paint for the figures).

Let AB be 16x and PQ be 25x.

We know that:

$\frac{ar(ABC)}{ar(PQR)}=\frac{AB^{2} }{PQ^{2} }=\frac{BC^{2} }{QR^{2} }=\frac{CA^{2} }{RA^{2} }$

We shall take only this formula from the above equation:

$\frac{ar(ABC)}{ar(PQR)}=\frac{AB^{2} }{PQ^{2} }$

$\frac{ar(ABC)}{ar(PQR)}=\frac{(16x)^{2} }{(25x)^{2} }$

$\frac{ar(ABC)}{ar(PQR)}=\frac{256x^{2} }{625x^{2} }$

$\frac{ar(ABC)}{ar(PQR)}=\frac{256}{625 }$

Thus, the ratio is 256:625.

HOPE THIS HELPS :D