Answer:



Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:


Required
Solve for a, b and c

So, we have:

Subtract 1 from both sides


Apply Pythagoras Theorem

Substitute 3 + 3b for a and 4 + 3b for c

Open brackets


Collect Like Terms


Expand

Factorize:


Split:


But the adjacent of a triangle can't have a negative measurement.
So:

Recall that:


Substitute 7 for b in the above expressions






Hence, the dimensions of the triangle are:



X + (x + 2) + ( x + 4) + (x + 6)
----------------------------------- = 15
4
4x + 12
--------- = 15
4
Multiply by 4 on both sides
4x + 12 = 60
subtract 12 from both sides
4x = 48
divide by 4 on each side
x = 12
x + 2 = 14
x + 4 = 16
x + 6 = 18
The two numbers are -6 and -20
-20 x -6 = 120
-20 + (-6) = -26