# Construct a triangle whose two sides are in ratio of 1:2 such that their sum is 12 cm and angle between them is 120 degree.

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by Dakshkush

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by Dakshkush

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∴ sides will be AB, BC , AC

Given : AB+BC=12cm and AB:BC=1:2

i.e, AB/BC=1/2

∴ 2AB=BC

Substituting the value of BC in 1st eqxn.. we get

2AB+AB=12 ⇒ 3AB=12 ⇒ ∴AB=4cm

∴BC=2AB=2(4)=8 cm

Now that you have got two sides and angle b/w them, you can construct the triangle ABC