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| 1. |
if the areas of two similar triangles are equal prove that they are congruent |
| Answer» Let ∆ABC ~∆PQR Area of ∆ABC=area of ∆PQR (AB)²=(PQ)², (BC)²=(QR)²,(AC)² = (PR)² (by theorem 6.3). So, AB=PQ, BC=QR,AC =PR So, ∆ABC is congruent to ∆PQR. (By SSS. Criteria ) | |