Respuesta :
Answer:
The base is 14 and the height is 8
Step-by-step explanation:
8 times 14 is 112. 112 divided by 2 is 56.
triangle area = 1/2 x b x h
here
b = h + 6
so
1/2 x (h+6) x h = 56
1/2h² + 3h = 56
h² + 6h - 112 = 0
Δ = 6² - 4*1*(-112) = 22²
h' = (-6 + 22) / 2 = 8
h'' = (-6 - 22) / 2 - impossible
height = 8
and base = 14 (8+6)
check
area = 1/2 x b x h = 1/2 x 8 x 14 = 56
