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प्रश्न
State whether the two triangles are congruent or not. Justify your answer
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उत्तर
Let the given triangle be ∆ABC
`bar("AD")` divides ∆ABC into two parts giving ∆ABD and ∆ACD
In ∆ABD and ∆ACD
`bar("AB") = bar("AC")` ...(given)
`bar("BD") = bar("AD")` ...(common side)
∠BAD = ∠CAD ...(included angles)
∴ By SAS criterion ∆ABD ≅ ∆ACD.
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संबंधित प्रश्न
To conclude the congruency of triangles, mark the required information in the following figure with reference to the given congruency criterion
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BC = 8 cm, AC = 6 cm and ∠C = 40°
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∠Q = 90°, ∠R = 42° and QR = 5.5 cm
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State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆ABC: AB = 4.8 cm, ∠A = 90°, AC = 6.8 cm
∆XYZ: YZ = 6.8 cm, ∠X = 90°, ZX = 4.8 cm
In the following figure, PQ = PS and ∠1 = ∠2.
- Is ∆PQR ≅ ∆PSR? Give reasons.
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In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?

