Advertisements
Advertisements
प्रश्न
The ratio of the areas of two similar triangles is 49 : 100. Find the ratio of the lengths of their corresponding sides.
बेरीज
Advertisements
उत्तर
For similar triangles,
`"Area"_1/"Area"_2 = ("corresponding side"_1/"corresponding side"_2)^2`
Given,
Area ratio = 49 : 100
So,
`("side"_1/"side"_2)^2 = 49/100`
`"side"_1/"side"_2 = sqrt(49/100)`
`"side"_1/"side"_2 = 7/10`
∴ Ratio of corresponding sides = 7 : 10
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
