Question

in the adjoining figure triangle AHK is similar to triangle ABC .if AK=10cm BC =3.5cm and HK=7cm.find AC

Answer 1

Answer:

      Given:- tirangle are similar

so in triangle AHK and ABC

AK = HK

BC    AC

10/3.5 = 7/AC

cross multiply

= 2.45 cm

Step-by-step explanation:

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