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# if the area of two similar triangles are 121 square cm and 289 square cm respectively. then find the ratio between its corresponding sides.

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## The areas of two similar triangles are 121 cm ^2 and 64 cm ^2 , respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other is:

Click here👆to get an answer to your question ✍️ The areas of two similar triangles are 121 cm ^2 and 64 cm ^2 , respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other is: The areas of two similar triangles are 121 cm

Question 2 and 64 cm 2

, respectively. If the median of the first triangle is 12.1 cm, then the corresponding median of the other is:

A

B

C

D

## 3.2 cm

Medium Open in App Solution Verified by Toppr

Correct option is C)

The ratio of the areas of two similar triangles is equal to the ratio of the squares of the corresponding medians. Therefore,

64 121 ​ = x 2 (12.1) 2 ​

, where x is the median of the other △.

⇒ x 2 = 121 (12.1) 2 ×64 ​ ⇒x= 100 121 ​ ×64 ​ = 10 11 ​ ×8=8.8 cm.

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## The area of two similar traingles are 25 sq cm and 121 sq cm. Find the ratio of their corresponding sides

The area of two similar traingles are 25 sq cm and 121 sq cm. Find the ratio of their corresponding sides Home English Class 10 Maths Chapter X Boards

The area of two similar traing...

## The area of two similar traingles are 25 sq cm and 121 sq cm. Find the ratio of their corresponding sides

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Transcript

hello everyone let's start this question this question is that the area of two similar triangles are 25 square centimetre and 121 cm2 to find the ratio of their corresponding as in the diagram suppose a triangle abc angle abc is similar to triangle d e f and area of triangle ABC 25 CM square and area of triangle if

121 theorem theorem area of triangle ABC / area of triangle d s that is equal to a b square is equal to the ratio of any of the square of the ratio of any other corresponding sides also whole square = AC buy now

implies that 25 by 121 if you just take the under root of this we would get rid of the responding sites turns out to be finally 5 by 11 is the ratio of corresponding sides thank you

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Areas two similar triangles are 225 sq. cm , 81 sr. cm If a side of the smaller traingles is 12 cm , then find correspoding side of bigger traingle.

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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

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 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 Advertisement Remove all ads

### 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.

ar(triangle 1) ar(triangle 1) median median2

ar(triangle 1)ar(triangle 1)=(median12median22)2

median2

12164=(12.1median2)2

Taking square root on both side, we get

118=12.1cmmedian2 ⇒median2=8.8cm

Hence the correct answer is

b .

Concept: Triangles Examples and Solutions

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Chapter 7: Triangles [Page 133]

Q 26 Q 25 Q 27

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RD Sharma Class 10 Maths

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