Question

draw a triangle ABC on graph paper having the coordinates of its vertices as A(-2,0),B(4,0)and C(1,5).also find the area of triangle.

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Answer 1

Answer:

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Answer 2

Given :

draw a triangle ABC on graph paper having the coordinates of its vertices as A(-2,0),B(4,0)and C(1,5).

To find :

find the area of triangle.

Solution:

Coordinates of A = (-2,0)

Coordinates of B = (4,0)

Coordinates of C = (1.5)

Plot the points on the graph

Refer the attached figure for the required graph

Area of triangle =$\frac{1}{2}(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))$

$(x_1,y_1)=(-2,0)\\(x_2,y_2)=(4,0)\\(x_3,y_3)=(1,5)$

Area of triangle $=\frac{1}{2}(-2(0-5)+4(5-0)+1(0-0))=15$

Hence the area of triangle is 15 sq. units