Question

Find the area or this triangle ​

Answer 1

Answer:

Area of triangle = 15 square units

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

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

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

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

So, Area of triangle = 15