Question

in the adjoining figure, AHK is similar to ABC if ak=10 ,bc=3.5 and hk=7 find ac

Answer 1

let ac be x
they are similar
therefore their corresponding sides are in proportion
BC/HK=AC/AK
3.5/7=x/10
3.5×10=7x
35=7x
x=35/7
x=5

Answer 2

Solution :-

GIVEN:

AK = 10cm, BC  = 3.5cm & HK = 7cm

∆AHK ~  ∆ABC

AK/AC = HK/BC

[corresponding sides of similar triangles are proportional]

10/AC = 7/3.5

10/AC = 70/35

10/AC = 10/5

10AC = 10 × 5

AC = (10 × 5) /10

AC = 5 cm

Hence,

The value of AC is 5 cm.

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@GauravSaxena01