Question

If the point A (0,2) is equidistant from the points B (3,p) and C (p,5).Find the value of p. Also find the AB. Also find the area of triangle ABC....who will give me the correct answer i will mark brainlist....

Answer 1

above require use of distance formula and area of triangle formula.. answer is above

Answer 2

Answer: Given, AB=AC

= whole root of (0-3)^2 + (2-p)^2 = whole root of (0-p)^2 + (2-5)^2

= 9 + (2-p)^2 = p^2 + 9

= 4 + p^2 - 4p = p^2

4p =4

p = 1.

Substitute of p-value in AB

Length of AB =  whole root of (0-3)^2  + (2-1)^2

                       = whole root of 9 + 1

                       = root 10.

Hope this helps!

Step-by-step explanation: