Question

A (2, 2) and B(6, 6) are two given points.
Find point P such that PA = PB and the
area of triangle PAB is 4.​

Answer 1

Answer:

Step-by-step explanation:

Given: A and b are two points (3,4) , (5,-2) and PA=PB and area of triangle PAB= 10 square units.

To find: The coordinates of P

Solution: Let the coordinate P be (x,y)

Since it is given that PA = PB

So, firstly we will calculate the distance PA.

PA = (x,y) (3,4)

Distance PA =

PB=(x,y) (5,-2)

Distance PB =

So,

Squaring both the sides in the above equation,

  (Equation 1)

Now,it is given that Area of triangle PAB = 10

Area of triangle of (3,4) (5,-2) and (x,y)

Area of triangle is given by the formula=

Area of triangle PAB =

          (Equation 2)

Now, solving equations 1 and 2.

Since

therefore, x = 3y+1

Equation 2 implies,

Therefore, the coordinates are (7,2).

Answer 2

Step-by-step explanation:

A(2;2) B(6,6)

PA=PB

Using distance formula underroot (X2-X1 )WHOLE SQUARE+(Y2-Y1) WHOLE SQUARE SOLVE IT