Maths-
General
Easy
Question
In , DA = DB = DC. Show that .
Hint:
Using Angles opposite to the equal sides are equal . find the angles and Add using Sum of angles in triangle ABC ,Find ∠ACB = 90°
The correct answer is: ∠ ACB = 90°
Step 1:- Find relation between ∠ACD,∠BAC,∠ABC and ∠DCB
In Δ ACD,
As DA = DC
∠ ACD = ∠ BAC(Angles opposite to the equal sides are equal)
In Δ BCD,
As DB = DC
∠BCD = ∠ABC(Angles opposite to the equal sides are equal)
In ABC ,
∠ BAC + ∠ ABC + ∠ ACB = 180°(sum of angles in the triangle)
Substitute ∠ ACD = ∠ BAC and ∠ BCD = ∠ ABC
∠ACD + ∠ BCD + ∠ ACB = 180°
From diagram, we get ∠ ACD + ∠BCD = ∠ ACB
2 × ∠ ACB = 180° ∠ACB = 90°
In ABC ,
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