Question

Assertion- If the bisector of the vertical angle of the triangle visects the base of triangle then triangle is equilateral. Reason- If threee sides of one triangle are equal to three of the other triangles , the the two triangles are congruent.​

Answer 1

Step-by-step explanation:

Construction

Produce AD to E such that AD=DE Join EC

Proof : In △ADB and △EDC

BD=CD ( given)

AD=ED ( by construction)

∠ADB=∠EDC ( vertically opposite angles)

∴△ADB≅△EDC ( SAS congruence)

∴AB=ED−−−−−(1) ( by CPCT)

and ∠BAD=∠CED ( by CPCT)

But ∠BAD=∠CAD (given)

∴∠CAD=∠CED

∴AC=CE−−−−−−−(2) ( sides opposite to equal angles of a triangle are equal.

From (1) and (2), AB=AC

∴△ABC is isosceles.

hope this helps you...plzz Mark as BRAINLIEST answer

Answer 2

Answer:

Both Assertion and Reason are correct but Reason is not the correct explaination of Assertion

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