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| 1. |
If the area of two similar triangles are equal them prove that they are congruent |
| Answer» Let the two triangles be.∆abc.&∆pQR .thus we have... AnglA=angleP.& Angle B=angle.Q.Now..given both triangles have equal area.Ar.∆ABC÷Ar.PQR=1\\2 BC×AD(let AD BE THE HEIGHT.)÷1\\2×QR×PS(LET PS BE THE HEIGHT.=BC\\QR=1BC=QR.THUS WE AHAVE BC=QRANGLE.A=ANGLE.PAND.ANGLE B=ANLGE Q.SO.∆ABC IS CONGRUENT TO ∆ PQR.BY.ASA PROPERTY | |