Advertisements
Advertisements
प्रश्न
Ratio of areas of two similar triangles is 9 : 25. _______ is the ratio of their corresponding sides.
पर्याय
3 : 4
3 : 5
5 : 3
25 : 81
MCQ
रिकाम्या जागा भरा
Advertisements
उत्तर
3 : 5
Explanation:
Let ΔABC and ΔPQR be two similar triangles.
According to the given condition,
`(A(ΔABC))/(A(ΔPQR)) = 9/25` ...(Given)
But `(A(ΔABC))/(A(ΔPQR)) = (AB^2)/(PQ^2)` ...(By the theorem of areas of similar triangles)
∴ `(AB^2)/(PQ^2) = 9/25`
∴ `(AB)/(PQ) = 3/5`
∴ 3 : 5 is the ratio of their corresponding sides.
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
