Question 16 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°
Given
AB2 = 2AC2
AB2 = AC2 + AC2
Putting AC = BC
AB2 = AC2 + BC2
Since this converse of Pythagoras theorem
It means Δ ABC is right angled triangle
With Hypotenuse AB
Since right angle is opposite to hypotenuse
∴ ∠ C = 90°
So, the correct answer is (d)

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CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.