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

CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
CBSE Class 10 Sample Paper for 2020 Boards - Maths Basic
Last updated at Dec. 16, 2024 by Teachoo
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΄πππ ππ π‘πππππππ 1)/(π΄πππ ππ π‘πππππππ 2)=(ππππ ππ π‘πππππππ 1)^2/(ππππ ππ π‘πππππππ 2)2 = (2/3)^2 = π/π So, the required ratio is 4 : 9