Question

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

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

Step-by-step explanation: