Answer:
Base = 10 ft. and the height = 6.
Step-by-step explanation:
Area of triangle = 1/2bh
base is 4 + h ⇔ base = 4 + h
height = h
Using the formula for the area of triangle substitute into the formula the given facts.
A = 1/2bh
30 = 1/2(4 + h) (h)
30 = 1/2(4h + h²) Multiply both sides by 2
60 = 4h + h²
-60 = -60 Add -60 to both sides
0 = h²+ 4h -60
(h + 10)(h - 6) = 0 Factor
h + 10 = 0 h - 6 =0
h = -10 h = 6
reject any negative number and use the positive answer for h.
So h = 6 and the base = 4 + 6 ; base = 10
