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

Last updated at August 12, 2026 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

Ques 36 (MCQ) - What is length of an altitude of an equilateral 8 cm - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ]

part 2 - Question 36 - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [MCQ] - Solutions of Sample Papers for Class 10 Boards - Class 10

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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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