Answer to Question #95410 in Geometry for Subhasis Padhy

Question #95410
If a square and a rhombus stands on same base, then find the ratio between area of square and rhombus ? (For class 9)
1
Expert's answer
2019-09-27T12:54:10-0400

Area of square: S1=a2S_1=a^2

Area of rhombus: S2=a2sinαS_2=a^2\sin\alpha, where α\alpha is a smaller angle of the rhombus.


S1S2=a2a2sinα=1sinα\frac{S_1}{S_2}=\frac{a^2}{a^2\sin\alpha}=\frac{1}{\sin\alpha}



Answer:

1sinα\frac{1}{\sin\alpha}


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