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In △ABD,
∠BAD+∠ADB+∠B=180°
∠BAD+90° +∠B=180°
∠BAD=90° −∠B ......(1)
In △ABC,
∠A+∠B+∠C=180 °
∠B+∠C=90°
∠C=90° −∠B
∠ACB=90° −∠B .......(2)
From 1 and 2, we get,
∠BAD=∠ACB
Hence proved.
Answered by
1
Step-by-step explanation:
GIVEN THAT:-
ABC IS A RIGHT ANGLE TRIANGLE
AD PERPENDICULAR TO BC
PROVE THAT:-
Angle BAD= Angle ACB
Triangal BAD = Triangle ACD (both are right angle) - - - (1)
Therefore
Angle DAC = Angle ABD
Angle CDA = Angle ADB
Therefore angle BAD = Angle ACB
PROVE!
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