Question

Please answer this question....​

Answer 1

Answer :-PROBLEM BASED ON CONGRUENCE OF TRIANGLES.

Step-by-step explanation:

DATA :- ABC IS A TRIANGLE AND AD IS THE BISECTOR OF ANGLE A AND IF AD IS PERPENDICULAR TO BC.

TO PROOVE :- ABC IS AN ISOSCELES TRIANGLE , i.e. , AB = AC.

FIGURE :- AS DRAWN BY YOU.

PROOF :- SO , THERE ARE TWO TRIANGLES FORMED DUE TO BISECTION OF ANGLE A BY LINE SEGMENT AD.

SO , IN TRIANGLE ABD AND TRIANGLE ADC , WE GET ,

ANGLE A = ANGLE A. [COMMON]

LINE SEGMENT AD = LINE SEGMENT AD. [COMMON]

ANGLE ADB = ANGLE ADC [GIVEN]

SO , BY ASA CRITERION OF CONGRUENCE WE GET TRIANGLE ABD IS CONGRUENT TO TRIANGLE ADC.

SO , BY CPCT , WE GET , AB = AC.

HENCE , PROVED .

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