Q) In the given figure, Δ AHK ~ Δ ABC. If AK = 10cm, BC = 3.5cm and HK = 7cm, find the length of AC.

(Q 21 A – 30/2/2 – CBSE 2026 Question Paper)

Ans:

Step 1: Since, it is given that, Δ AHK ~ Δ ABC

∴ 

Step 2: After substituting given values, we get:

∵ AK = 10 cm, HK = 7 cm, BC = 3.5 cm

∴ 

∴ AC =

= = 5 cm

Therefore, the length of AC is 5 cm.

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