Check sibling questions

The sides of two similar triangles are in the ratio 2:3, then the areas of these triangles are in the ratio ______________

The sides of two similar triangles are in the ratio 2 : 3, then area

Question 15 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic - Part 2

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

The sides of two similar triangles are in the ratio 2 : 3, then the areas of these triangles are in the ratio ______________ Given that Ratio of sides of similar triangles = 2/3 We know that If two triangle are similar , ratio of areas is equal to the ratio of squares of corresponding sides . Therefore, (π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘‘π‘Ÿπ‘–π‘Žπ‘›π‘”π‘™π‘’ 1)/(π΄π‘Ÿπ‘’π‘Ž π‘œπ‘“ π‘‘π‘Ÿπ‘–π‘Žπ‘›π‘”π‘™π‘’ 2)=(𝑆𝑖𝑑𝑒 π‘œπ‘“ π‘‘π‘Ÿπ‘–π‘Žπ‘›π‘”π‘™π‘’ 1)^2/(𝑆𝑖𝑑𝑒 π‘œπ‘“ π‘‘π‘Ÿπ‘–π‘Žπ‘›π‘”π‘™π‘’ 2)2 = (2/3)^2 = πŸ’/πŸ— So, the required ratio is 4 : 9

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.