Question

Find Area bounded region -
Bounded by (1,3) (2,5) (3,4)​

Answer 1

Answer:

Area = 3/2

Step-by-step explanation:

Area bounded region -

Bounded by (1,3) (2,5) (3,4)​

x₁ = 1  y₁ = 3

x₂ = 2  y₂ = 5

x₃ = 3 y₃ = 4

Area = (1/2)| x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂)|

=> Area = (1/2) | 1(5 - 4) + 2(4 - 3) + 3(3 - 5)|

=> Area = (1/2)| 1 + 2 - 6|

=> Area  = (1/2) | - 3|

=> Area = 3/2

Additional info :

This is an isosceles triangle

with two Equal sides = √5

& third side = √2