The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. find all possible values of k.

k = -2 , k = -1 , k = 0.56 , k = -3.56

Step-by-step explanation:

First find the x and y intercepts of the triangle formed :

To find x - intercept, setting y = 0

Now to find y - intercept, setting x = 0

Now, base = 3 + k, height = y = -1.5·k and Area = 1.5 square units

Now, to find y-intercepts which lies right to the point x = 3

So, k has four possible values ⇒ k = -2 , k = -1 , k = 0.56 , k = -3.56

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: