Question : The sides of similar triangle $ riangle ABC$ and $ riangle DEF$ are in the ratio of $\frac{\sqrt{3}}{\sqrt{5}}$. If the area of $ riangle ABC$ is $90 ext{ cm}^2$, then the area of $ riangle DFF\left( ight.$ in $\left. ext{cm}^2 ight)$ is:
Option 1: 150
Option 2: 152
Option 3: 154
Option 4: 156

Question

Question : The sides of similar triangle $ riangle ABC$ and $ riangle DEF$ are in the ratio of $\frac{\sqrt{3}}{\sqrt{5}}$. If the area of $ riangle ABC$ is $90 ext{ cm}^2$, then the area of $ riangle DFF\left( ight.$ in $\left. ext{cm}^2 ight)$ is:

Option 1: 150

Option 2: 152

Option 3: 154

Option 4: 156

Team Careers360 · Accepted Answer

Correct Answer: 150

Solution : Ratio of their sides = $\frac{\sqrt3}{\sqrt5}$
$ herefore$ Ratio of their areas = $(\frac{\sqrt3}{\sqrt5})^2 = \frac{3}{5}$
Given the area of $ riangle ABC$ = $90 ext{ cm}^2$
$ herefore$ Area of $ riangle DEF=90 imes \frac{5}{3} = 150 ext{ cm}^2$
Hence, the correct answer is 150.

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Question : The sides of similar triangle △ABC and △DEF are in the ratio of 35. If the area of △ABC is 90 cm2, then the area of △DFF( in cm2) is:Option 1: 150Option 2: 152Option 3: 154Option 4: 156

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Question : The sides of similar triangle $△ A B C$ and $△ D E F$ are in the ratio of $\frac{\sqrt{3}}{\sqrt{5}}$ . If the area of $△ A B C$ is $90 {cm}^{2}$ , then the area of $△ D F F ($ in ${cm}^{2})$ is:
Option 1: 150
Option 2: 152
Option 3: 154
Option 4: 156