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Question 36 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 16, 2024 by Teachoo

What is the length of an altitude of an equilateral triangle of side 8cm?

(a) 2√3cm   (b) 3√3 cm   (c) 4√3 cm   (d) 5√3 cm

Transcript

Question 36 What is the length of an altitude of an equilateral triangle of side 8cm? (a) 2√3cm (b) 3√3 cm (c) 4√3 cm (d) 5√3 cm Let CD be altitude of equilateral triangle Δ ABC Given Side of equilateral triangle = a = 8 cm Now, Area of equilateral triangle = √𝟑/𝟒 𝒂^𝟐 = √3/4 × 8^2 = √3/4 × 64 = 16√𝟑 cm2 Also, Area of equilateral triangle = 1/2 × Base × Height 16√3 = 1/2 × AB × CD 16√𝟑 = 𝟏/𝟐 × 8 × CD 16√3 = 4 × CD (16√3)/4 = CD 4√3 = CD CD = 4√𝟑 cm So, the correct answer is (c)
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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 and Computer Science at Teachoo