1) The ratio of corresponding sides of similar triangles is 3:5 then find the ratio of their areas.
A
Answers
Step-by-step explanation:
similar triangles is 3:5.
Step-by-step explanation:
Since there is no information about the type of similar triangles, so we can consider any two types of similar triangles.
Let’ s consider two right-angled triangles “∆CBA” and “∆PQR” where
CB & PQ be the perpendicular heights
AB & QR be the base
CA & PR be the hypotenuse
It is given that,
∆CBA ~ ∆PQR
The ratio of two sides of similar triangles = 3:5
i.e., BA:QR = 3:5 ….. (i)
Now, we know that if two triangles are given to be similar triangles then their corresponding sides are proportional to each other.
Therefore, we have
\frac{CB}{PQ} = \frac{BA}{QR}
PQ
CB
=
QR
BA
Substituting from (i)
⇒ \frac{CB}{PQ} = \frac{3}{5}
PQ
CB
=
5
3
Thus, the ratio of the height of the similar triangles is 3:5.
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