In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is
(a) 22/3 cm (b) 26/3 cm (c) 55/3 cm (d) 64/3 cm
This question is inspired from Question 17 - Sample Paper for 2020 Boards - Class 10 Sample Paper
Advertisement
Advertisement
Last updated at Sept. 7, 2021 by Teachoo
This question is inspired from Question 17 - Sample Paper for 2020 Boards - Class 10 Sample Paper
Transcript
Question 30 In the given figure, ∠ACB = ∠CDA, AC = 8cm, AD = 3cm, then BD is (a) 22/3 cm (b) 26/3 cm (c) 55/3 cm (d) 64/3 cm 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 8/3 = 𝐴𝐵/8 8/3 = 𝐴𝐵/8 8/3 × 8 = AB 64/3 = AB AB = 𝟔𝟒/𝟑 Now, BD = AB − AD = 64/3 − 3 = (64 − 9)/3 = 𝟓𝟓/𝟑 cm So, the correct answer is (c)
CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]
Question 2
Question 3
Question 4 Important
Question 5 Important
Question 6
Question 7
Question 8 Important
Question 9 Important
Question 10
Question 11 Important
Question 12
Question 13 Important
Question 14
Question 15 Important
Question 16
Question 17 Important
Question 18
Question 19 Important
Question 20
Question 21 Important
Question 22 Important
Question 23 Important
Question 24
Question 25 Important
Question 26
Question 27
Question 28 Important
Question 29 Important
Question 30 You are here
Question 31 Important
Question 32 Important
Question 33
Question 34 Important
Question 35
Question 36 Important
Question 37 Important
Question 38
Question 39 Important
Question 40
Question 41 (Case Based Question) Important
Question 42 (Case Based Question)
Question 43 (Case Based Question) Important
Question 44 (Case Based Question)
Question 45 (Case Based Question)
Question 46 (Case Based Question)
Question 47 (Case Based Question) Important
Question 48 (Case Based Question)
Question 49 (Case Based Question) Important
Question 50 (Case Based Question) Important
CBSE Class 10 Sample Paper for 2022 Boards - Maths Standard [MCQ]
About the Author