Question

find the area of the triangle formed by the points (8,-5),((-2,-7) and (5,1) using heron's formula​

Answer 1

Step-by-step explanation:

A=(8,-5)

B = (-2,-7)

C = (5,1)

Now find the sides of triangle AB,BC,AC

To find AC use distance formula :

Substitute the values in the formula :

To Find BC

Substitute the values in the formula :

To Find AC

Substitute the values in the formula :

So, sides of triangle :

a =10.19

b=10.63

c= 6.70

Now to find area:

Where

a,b,c are the side lengths of triangle  

Now substitute the values :

Hence the area of the given triangle is 32.947 sq. units