In the figure, if ∠ACB = ∠CDA, AC = 6 cm and AD = 3 cm, then find the length of AB
![Question 17 - CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard - Part 2](https://d1avenlh0i1xmr.cloudfront.net/7b7eb954-41b7-4dab-bc71-0f1de8d9532b/slide12.jpg)
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
CBSE Class 10 Sample Paper for 2020 Boards - Maths Standard
Last updated at April 16, 2024 by Teachoo
Question 17 In the figure, if ∠ACB = ∠CDA, AC = 6 cm and AD = 3 cm, then find the length of AB Given ∠ACB = ∠CDA In Δ ACB and Δ ADC ∠ACB = ∠ADC ∠CAB = ∠DAC ∴ Δ ACB ∼ Δ ADC We know that Sides of similar triangle are in same proportion ∴ 𝐴𝐶/𝐴𝐷 = 𝐴𝐵/𝐴𝐶 Putting values 6/3 = 𝐴𝐵/6 2 = 𝐴𝐵/6 2 × 6 = AB 12 = AB AB = 12 So, length of AB is 12 cm