ABC is a right angled triangle in which angle A=90 AB= AC show that angle
B angle c
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Given: <A = 90
= AB = AC (Given)
To Prove: <B = <C
=> Additional Construction: Draw a AD bisector of <A and BC
Proof: ΔADB and ΔADC
= AD = AD (Common Side)
= <DAB = <DAC (AD is the bisector of <A)
= AB = AC (Given)
∴ By SAS Congruence rule,
= ΔDAB ≅ ΔDAC (CPCT)
∴ <B = <C (CPCT)
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