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The Areas of Two Similar Triangles Are 121 Cm2 and 64 Cm2 Respectively. If the Median of the First Triangle is 12.1 Cm, Then the Corresponding Median of the Other Triangle is - Mathematics

MCQ

The areas of two similar triangles are 121 cm2 and 64 cm2 respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other triangle is

Options

  • 11 cm

  •  8.8 cm

  • 11.1 cm

  • 8.1 cm

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Solution

Given: The area of two similar triangles is 121cm2 and 64cm2 respectively. The median of the first triangle is 2.1cm.

To find: Corresponding medians of the other triangle

We know that the ratio of areas of two similar triangles is equal to the ratio of squares of their medians.

`\text{ar(triangle 1)}/\text{ar(triangle 1)}=((\text{median} 1^2)/(\text{median2}^2))^2`

`121/64=((12.1)/\text{median2})^2`

Taking square root on both side, we get

\[\frac{11}{8} = \frac{12 . 1cm}{median2}\]
\[ \Rightarrow median2 = 8 . 8 cm\]

Hence the correct answer is `b`.

Concept: Triangles Examples and Solutions
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 26 | Page 133
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