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What is the area of the triangle shown below?
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What is the area of the triangle shown below?

What is the area of the triangle shown below?-example-1
User Kevinarpe
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1 Answer

5 votes

Answer: the area of the triangle is 5.

Explanation:


A(0;0) \ \ \ \ B(1;3) \ \ \ \ C(4;2) \ \ \ \ S_(ABC)=?\\Use \ the\ formula:\\\displaystyle\\\boxedS=(1)/(2)*\\x_A=0\ \ \ \ x_B=1\ \ \ \ x_C=4\ \ \ \ y_A=0\ \ \ \ \ y_B=3\ \ \ \ \ y_C=2.\\S=(1)/(2)*|[(0-4)*(3-2)-(1-4)*(0-2)]|\\S=(1)/(2)*| [(-4)*1-(-3)*(-2)]|=\\ S=(1)/(2)*| (-4-6)|\\S=(1)/(2)*|(-10)|\\S= (1)/(2) *10\\S=5.

What is the area of the triangle shown below?-example-1
User BrightFlow
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