Determinant and Triangle

Algebra Level 3

Triangle △ A B C \triangle ABC has vertices A = ( a , b ) , A=(a,b), B = ( c , d ) B=(c, d) and C = ( 0 , 0 ) . C=(0,0). If det ⁡ [ a b c d ] = 4 , \det\left[\begin{array}{cc}a& b\\c& d \end{array}\right]=4, what is the area of △ A B C \triangle ABC ?


The answer is 2.

Sandeep Mehra by Sandeep Mehra , 23, India

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4 solutions

Natsir Muhammad
Mar 16, 2015

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Ramiel To-ong
Jun 8, 2015

the Area of triangle is simply half of its determinants...thus A = 4/2 = 2

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Fox To-ong
Jan 14, 2015

the Area of triangle is simply half of its determinants...thus A = 4/2 = 2

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Vamsi Saladi
Aug 28, 2014

There is a formula that equates the determinants of a triangle with its area. Does anyone know what it is?

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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