Question

6. Prove that, if the bisector of angle BAC of triangle ABC is perpendicular to side BC, then triangle ABC is an isosceles triangle.​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

In ΔADB and ΔADC

∠BAD=∠CAD (AD id the bisector of ∠BAC)

∠BAD=∠CDA=90

∘

(Given)

AD=DA (Common)

By ASA test of congruency

ΔADB≅ΔADC

∴∠B=∠C (corresponding angles of congruent triangles)

If two angles of a triangle are equal, then the triangle is said to be a isosceles triangle.

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Step-by-step explanation:

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