establish the formula to determine that area of a triangle 1/2 base height - Maths - Lines and Angles

Question

establish the formula to determine that area of a triangle
1/2?base?height

N Dubey · Accepted Answer

To prove:- Area of triangle=12×base×heightProof:- Draw a parallelogram ABCD having diagonal AC and altitude AL
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"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_554f2bdfaf8b4%20jpg"
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As we know area of the parallelogram=base × altitude=CD×ALand the diagonal of parallelogram , divides it in two equal parts So, area of triangle ABC= area of triangle ADC=12area of the parallelogram,ABCD⇒area of triangle ADC=12×CD×AL⇒area of triangle ADC=12×base×heightHence Proved

establish the formula to determine that area of a triangle 1/2?base?height