Advertisement Remove all ads

Corresponding Sides of Two Similar Triangles Are in the Ratio 1 : 3. If the Area of the Smaller Triangle in 40 Cm2, Find the Area of the Larger Triangle. - Mathematics


Corresponding sides of two similar triangles are in the ratio 1 : 3. If the area of the smaller triangle in 40 cm2, find the area of the larger triangle.

Advertisement Remove all ads


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

`\text{(Area of smaller triangle)}/\text{(Area of larger  triangle)}1^2/3^2`

`40/\text{(Area of larger  triangle)}1/9`

Area of larger  triangle `= (40xx9)/(1) = 360 cm^2`

Hence the area of the larger triangle is  360` cm^2`

Concept: Triangles Examples and Solutions
  Is there an error in this question or solution?
Advertisement Remove all ads


RD Sharma Class 10 Maths
Chapter 7 Triangles
Q 19 | Page 126
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads

View all notifications

      Forgot password?
View in app×