Geometry Maths SSC SSC-Maths

Triangle Notes

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Basic Formulas & Identities

Area = ½ (Any Side) × (Corresponding Altitude)

Heron’s Formula

∆ =√(s(s – a)(s – b)(s – c))

S = ½ (a + b + c)…….. Semi-Perimeter

Where a, b, c……sides of a ∆

Area of an Equilateral Triangle (∆)

Area= (√3a²)/4

Centroid (G) of a Triangle

G = ({x1+ x2+ x3 /3};  {y+ y+ y3} /3 )

Area = ½ [x1(y– y3) + x2(y– y1) + x3(y– y2)]

 

Triangle

Length of Medians

 L1 = ½ (√(2b² + 2c² – a²)  )

L= ½ (√(2c² + 2a² – b²)  )

L= ½ (√(2a² + 2b² – c²)

4(L12 + L2+ L32) = 3(a² + b² + c²)

 

Triangle2

Length of Angle Bisector (x)

Triangle3

 

x = (2bc/ (b + c)) cos (A/2)

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