Question

Find the area or this triangle ​

Answer 1

Area of triangle = 15 square units

Explanation:

We need to find area of the triangle, given the vertices:

A=(4,0)

B=(1,5)

C=(7,5)

The formula used is:
`Area\:of\:triangle=(1)/(2)(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))`

We have:
`x_1 =4, y_1 =0, x_2 =1, y_2=5, x_3=7 , y_3=5`

Putting values and finding area

`Area\:of\:triangle=(1)/(2)(x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2))\\Area\:of\:triangle=(1)/(2)(4(5-5)+1(5-0)+7(0-5))\\Area\:of\:triangle=(1)/(2)(4(0)+1(5)+7(-5))\\Area\:of\:triangle=(1)/(2)(0+5-35)\\Area\:of\:triangle=(1)/(2)(-30)\\Area\:of\:triangle=-15`

We will be ignoring negative sign, because area of triangle is positive.

So, Area of triangle = 15