Question 4 - NCERT Exemplar - MCQ - Chapter 6 Class 10 Triangles

Last updated at August 14, 2026 by

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is

(A) 9 cm  

(B) 10 cm

(C) 8 cm 

(D) 20 cm

This question is inspired from  Ex 6.5, 7 - Chapter 6 Class 10 - Triangles

MCQ - The lengths of the diagonals of a rhombus are 16 cm and 12 cm - NCERT Exemplar - MCQ

part 2 - Question 4 - NCERT Exemplar - MCQ - Serial order wise - Chapter 6 Class 10 Triangles
part 3 - Question 4 - NCERT Exemplar - MCQ - Serial order wise - Chapter 6 Class 10 Triangles

Take a fresh quiz. Then take another.
Every attempt is a new AI-adaptive Teachoo quiz with 3 questions, selected from your answers, mistakes, and progress.
Remove Ads
Teachoo · Class 10 Explore Class 10

Transcript

Question 4 The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Then, the length of the side of the rhombus is 9 cm (B) 10 cm (C) 8 cm (D) 20 cm In a Rhombus Sum of squares of sides = Sum of its diagonals (For proof, check Ex 6.5, 7 – Chapter 6 Class 10 Triangles) Thus, AB2 + BC2 + CD2 + AD2 = AC2 + BD2 Since all sides of Rhombus are equal, our equation becomes AB2 + AB2 + AB2 + AB2 = AC2 + BD2 4AB2 = AC2 + BD2 Putting length of diagonals as 16 and 12 cm 4AB2 = 162 + 122 4AB2 = 256 + 144 4AB2 = 400 AB2 = 400/4 AB2 = 100 AB2 = 102 AB = 10 cm So, the correct answer is (B) So, the correct answer is (B)

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.