Q35 of 97 Page 187

In ∆ABC, if ∠A=90°, which is the longest side?

It is given that ∠A=90°.


In right angled triangle at 90°


Sum of all angles in triangle is 180°, so other two angles must be less that 90°


So, other angles are smaller than ∠A.


Hence ∠A is largest angle.


We know that side opposite to largest angle is largest.


∴BC is longest side, which is opposite to ∠A.


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In ∆ABC, side AB is produced to D such that BD=BC. If ∠B=60° and ∠A=70°, prove that (i) AD>CD and (ii) AD>AC.