Question

The base of a triangle is 4cm longer than the altitude and it’s area is 16cm^2. Find the length of the base and the altitude [Please help ASAP]

Answer 1

Answer:

The base = 8 cm and the altitude = 4 cm.

Step-by-step explanation:

b = a + 4  where b = base and a = the altitude.

Area = 1/2 * a * b = 16

Area = 1/2 * a * (a + 4) = 16

1/2 a^2 + 2a = 16

a^2 + 4a - 32 = 0

(a + 8)(a - 4) = 0

a = 4 .

b = 4+4 = 8.