Answer:
height = 6 cm
Base = 10 cm
Step-by-step explanation:
Let height = h cm
Base = h + 4
Area of triangle = 30 cm²
[tex]\frac{1}{2}bh = 30\\\\\frac{1}{2}*( h + 4) *h = 30\\[/tex]
Multiply the equation by 2
(h + 4) * h = 30*2
h*h + 4*h = 60
h² + 4h = 60
h² + 4h - 60 = 0
Product = -60
Sum = 4
Factors = 10, (-6)
h² + 10h - 6h - 6 * 10 = 0
h(h + 10) - 6(h + 10) = 0
(h +10)(h - 6) = 0
{Ignore h + 10 = 0 because measurements will not be in negative}
h - 6 = 0
h = 6 cm
b = 6 + 4 = 10 cm
