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

CBSE Class 10 Sample Paper for 2021 Boards - Maths Standard →
Class 10
Solutions of Sample Papers for Class 10 Boards

Question 16 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at July 27, 2026 by

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°

 

This question is inspired from Ex 6.5, 5 - Chapter 6 Class 10 - Triangles

Ques 16 (MCQ) - In isosceles triangle ABC, if AC=BC and AB^2 = 2AC^2 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 16 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

Remove Ads

Transcript

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)

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh is an IIT Kanpur graduate and has been teaching for 16+ years. At Teachoo, he breaks down Maths, Science and Computer Science into simple steps so students understand concepts deeply and score with confidence.

Many students prefer Teachoo Black for a smooth, ad-free learning experience.