In an isosceles triangle ABC, if AC=BC and AB2=2AC2, then the measure of angle C will be
(a) 30˚
(b) 45˚
(c) 60˚
(d) 90˚
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2
Answer:
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Answered by
2
Answer:
C = 90°
Step-by-step explanation:
In △ABC
(AB)² = 2(AC)²
(AB)² = (AC)²+ (AC)²
∵AC = BC
(AB)² = (AC)²+ (BC)², This equation comes out as Property of Right angle traingle or also known as Pythagoras theorem.
∴∠C=90°
And △ABC is a right angle triangle.
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