7.4 SSS and RHS Criteria

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Key Formulas

Solved Examples

Step 1

Consider ΔABP\Delta ABP and ΔACP\Delta ACP.

Step 2

  1. ∠APB=∠APC=90∘\angle APB = \angle APC = 90^\circ (Construction).

Step 3

  1. AB=ACAB = AC (Hypotenuse, Given).

Step 4

  1. AP=APAP = AP (Common Side).

Step 5

By RHS Criterion, ΔABP≅ΔACP\Delta ABP \cong \Delta ACP.

Step 6

Therefore, ∠B=∠C\angle B = \angle C (CPCT).

Final Answer

Proved.

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