1.

Construct a right angled triangle whose base is 12 cm and sum of its hypotenuse and other side is 18 cm.

Answer»

Solution :Given that, in `DeltaABC`, base `BC = 12 cm,` `angleB = 90^(@)` and `AB + BC = 18 cm.`
1.DRAW the base `BC = 12 cm.`
2. At the point `B,` make an `angleXBC = 90^(@)`.
3. Cut a line segment `BD = AB + AC= 18 cm` from the ray `BX.`
4. Join `DC.`
Draw the perpendicular bisector `PQ` of `CD` to intersect `BD` at a point `A.`
6. Join `AC.`
Then, `ABC` is the required right angled triangle.


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