we know that
The Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides. The formula is equal to
where
a,b,c -----> are the lengths of the sides of a triangle
p ----> is half the perimeter
we have
The formula to calculate the distance between two points is equal to
Step 1
<u>Find the distance JK</u>
Substitute the values in the formula of distance
Step 2
<u>Find the distance KL</u>
Substitute the values in the formula of distance
Step 3
<u>Find the distance JL</u>
Substitute the values in the formula of distance
Step 4
<u>Find the perimeter of the triangle</u>
we know that
the perimeter of a triangle is the sum of the length sides of the triangle
so
substitute the values
Find half the perimeter
Step 5
<u>Find the area of the triangle</u>
Applying the Heron's Formula
we have
substitute the values
therefore
<u>the answer is</u>
The area of the triangle is