Question

the ratio of two sides of similar triangle is 3:5 then the ratio of their height is​

Answer 1

Answer:

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Answer 2

The ratio of their heights of the two 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

$\frac{CB}{PQ} = \frac{BA}{QR}$

Substituting from (i)

⇒ $\frac{CB}{PQ} = \frac{3}{5}$

Thus, the ratio of the height of the similar triangles is 3:5.

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