In an Isosceles Triangle ABC, If AC=BC and `"AB"^{2}`=`"2AC"^{2}` , then the Measure of Angle C will be - Bzziii

 In an isosceles triangle ABC, if AC=BC and `"AB"^{2}`=`"2AC"^{2}` , then the measure of angle C will be 

(a) 30˚ 
(b) 45˚ 
(c) 60˚ 
(d) 90˚




(d) 90˚

Explanation:

In Isosceles △ ABC

AC = BC

∠B = ∠A (Equal Sides have equal angles opposite side to them)

⇒ ` AB^{2} ` = 2` AC^{2} ` 

 ` AB^{2} ` = ` AC^{2} `+  ` AC^{2} ` 

 ` AB^{2} ` =  ` AC^{2} `+  ` AC^{2}`(AC = BC)

∴ ∠C = 90˚





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