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Construct a right triangle whose base...

Construct a right triangle whose base is `12 c m\ ` and sum of its hypotenuse and other side is `18 c m`

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Draw a base `BC` of length `12cm`

Lets draw `/_B=90^@`. Let the ray be `BX`

Open the compass to length `18cm`. From `B` as center cut a arc on ray `BX`. Let the arc intersect `BX` at `D`. Join `CD`.

Draw perpendicular bisector of `CD`. Mark point `A` where perpendicular bisector intersects `BD`. Join `AC`.

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