Question

if the area of triangle with vertices (x ,3) (4, 4) and (3 ,5) is 4 square units find x

Answer 1

Answer:

The value of x=-3

Step-by-step explanation:

Given : If the area of triangle with vertices (x ,3) (4, 4) and (3 ,5) is 4 square units.

To find : Value of x

Solution : The area of triangle when vertices are given by

$A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]$

Where vertices are

$(x_1,y_1)= (x,3)\\(x_2,y_2)= (4,4)\\(x_3,y_3)= (3,5)$

Area = 4 square unit.

Substitute the value in the formula,

$4=\frac{1}{2}[x(4-5)+4(5-3)+3(3-4)]$

$4\times 2=[x(-1)+4(2)+3(-1)]$

$8=[-x+8-3]$

$8=[-x+5]$

$x=5-8$

$x=-3$

Therefore, The value of x=-3

Answer 2

Answer is here,

X =-3