What is the area of a triangle whose vertices are j(−2, 1) , k(4, 3) , and l(−2, −5) ? enter your answer in the box.

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

Find the distance JK

Substitute the values in the formula of distance

Step 2

Find the distance KL

Substitute the values in the formula of distance

Step 3

Find the distance JL

Substitute the values in the formula of distance

Step 4

Find the perimeter of the triangle

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

Find the area of the triangle

Applying the Heron's Formula

we have

substitute the values

therefore

the answer is

The area of the triangle is

answer:

step-by-step explanation:

here, the total dishes = 10

dishes having meat = 3 ( chicken, meatloaf and hamburger )

thus, the probability of having meat on the chosen dishes = number of dishes having meat / total dishes

=

therefore, the probability of not having meat = 1- the probability of having meat on the chosen dishes

=

=

=

⇒ option b is correct.