Question

E
b) Find the area of the triangle formed by the points (1, 1) (1,4) and (5,1)
by using Heron's ​

Answer 1

Answer:

6 unit^2

Step-by-step explanation:

Given :

(1,1),(1,4),(5,1)

To find :

find the area of triangle

Solution :

D = √(x_2 - x_1)² + (y_2 - y_1)²

AB = √(1 - 1)² + (4 - 1)² = 3

BC = √(5 - 1)² + (1 - 4)² = 5

AC = √(5 - 1)² + (1 - 1)² = 4

Area of triangle : - 1/2 x height x base

area of triangle = 1/2 x 4 x 3

area of triangle = 6 unit²

area of triangle formed is 6 unit