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The Area of Two Similar Triangles Are 36 Cm2 and 100 Cm2. If the Length of a Side of the Smaller Triangle in 3 Cm, Find the Length of the Corresponding Side of the Larger Triangle. - Mathematics

Sum

The area of two similar triangles are 36 cm2 and 100 cm2. If the length of a side of the smaller triangle in 3 cm, find the length of the corresponding side of the larger triangle.

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Solution

Since the ratio of areas of two similar triangles is equal to the ratio of the squares of any two corresponding sides.

`\text{(Area of triangle)}/\text{(Area of larger  triangle)}=\text{(Corresponding side of smaller triangle)}^2/\text{(Corresponding side of larger triangle)}^2`

`36/100=3^2/\text{(Corresponding side of larger triangle)}^2`

`\text{(Corresponding side of larger triangle)}^2= (9xx100)/(36)`

`\text{(Corresponding side of larger triangle)}^2 100/4`

`\text{(Corresponding side of larger triangle)}^2=25`

`\text{(Corresponding side of larger triangle)}^2= 5`

Hence, the length of the corresponding side of the larger triangle is  `5 cm`

Concept: Triangles Examples and Solutions
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RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 18 | Page 126
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