Question 954279
1. The base of a triangle is 6 cm longer than its altitude. The area of a triangles 56cm^2. Find the length of the base.
----------------------
Area = (1/2)(base)(altitude)
----------
56 = (1/2)(x + 6)(x)
----
112 = x^2 + 6x
---
x^2 + 6x - 112 = 0
Factor:
(x-8)(x+ 14) = 0
----
altitude = x = 8 cm
base = (x+6) = 14 cm
----------------
Cheers,
Stan H.
==============