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

Last updated at April 16, 2024 by Teachoo

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

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)

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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