What is the area of triangle ABC?3 square units7 square units11 square units15 square units
Accepted Solution
A:
The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.Step-by-step explanation:The given is, For above question diagram is missing, so i attach the diagram.Step:1 Formula for area of triangle from the coordinates, [tex]A =\frac{1}{2} [ x_{1}(y_{2} -y_{3})+x_{2} (y_{3}-y_{1} )+x_{3}(y_{1} - y_{2} )][/tex].............(1) Where, [tex](x_{1} ,y_{1} ),(x_{2} ,y_{2} ), (x_{3} ,y_{3} )[/tex] are coordinates From the given, A ( 1, 1 ) - [tex](x_{1} , y_{1} )[/tex] B ( 4, 0 ) - [tex](x_{2} , y_{2} )[/tex] C ( 3, 5 ) - [tex](x_{3} , y_{3} )[/tex] Equation (1) becomes, Area, [tex]A = \frac{1}{2} [1(0-5)+4(5-1)+3(1-0)][/tex] [tex]= \frac{1}{2} [1(-5)+4(4)+3(1)][/tex] [tex]= \frac{1}{2} [ -5 +16 + 3][/tex] [tex]= \frac{1}{2} (14)[/tex] = 7 Area of triangle, A = 7 square unitsResult: The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.