Question

# If the height of the triangle is $$\sqrt 3$$ times of its base, then find the polynomial which represents the area of the triangle.

Solution

## Let the base of triangle is  xand height of triangle is  hAccording to question,                $$h=$$ $$\sqrt { 3 }$$$$x$$Area of Triangle $$=$$ $$\frac { 1 }{ 2 }$$$$\times$$$$base\times height$$                             $$=$$ $$\frac { 1 }{ 2 }$$$$\times$$$$x\times h$$                             $$=$$ $$\frac { 1 }{ 2 }$$$$\times$$$$x\times$$$$\sqrt { 3 }$$$$x$$                             $$=$$  $$\frac { \sqrt { 3 } { x }^{ 2 } }{ 2 }$$So required polynomial   $$=$$  $$\frac { \sqrt { 3 } { x }^{ 2 } }{ 2 }$$Mathematics

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