Answer:
x=6
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
44 = 1/2 (2x-4)(x+5)
Multiply the 1/2 time (2x-4)
44 = (x-2) (x+5)
FOIL
44 = x^2 +5x -2x-10
Combine like terms
44 = x^2 +3x -10
Subtract 44 from each side
0 = x^2 +3x -10-44
0 = x^2 +3x -54
Factor
What two numbers multiply to -54 and add to 3
9*-6 = -54
9+-6 = -3
0 = (x+9)(x-6)
Using the zero product property
x +9 =0 x-6 =0
x = -9 x = 6
The height cannot be negative so x cannot be -9
x=6
