Question

7.
If the ruuo of the sides of two similar
triangles
is
3 5. then ratio of the areas is :(a)root3:root5
(B) 9:25
(c)5:3
(D) None of these​

Answer 1

$\bf\purple{Correct~QuestioN:-}$

If the ratio of the sides of two similar  triangles  is  3:5. Then ratio of the areas are,

A. √3: √5

B. 9:25

C. 5:3

D. None of these​

$\bf\green{AnsweR:-}$

GiʋҽN:-

Ratio of sides of two similar triangle = 3:5

To FiɳD:-

Ratio of it's areas = ??

SoɭυƚioN:-

Let, A₁ and A₂ be the areas of the similar triangles.

Then,

The ratio of the areas of similar triangles is equal to square of  the ratios of the corresponding sides .

$\bf:\longrightarrow\pink{\dfrac{A_1}{A_2}=\dfrac{(S_1)^2}{(S_2)^2}}$

$\bf:\longrightarrow\pink{\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}}$

$\bf:\longrightarrow\pink{\dfrac{A_1}{A_2}=\dfrac{9}{25}}$

Then the ratio of the areas will be equal to 9:25.

Option B . 9:25 is the correct answer for your question!!

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