Problema Solution
The base of a triangular sail is 6 m shorter than its height. the area is 36 m squared. find the base and height of the sail
Answer provided by our tutors
Let
a = the length of the base, a>0
h = the length of the height, h>0
A = 36 m^2 the area of the sail
The base of a triangular sail is 6 m shorter than its height:
a = h - 6
The area of a triangle is:
A = (1/2)ah
Plug a = h - 6 into A = (1/2)ah
(1/2)(h - 6)*h = 36
........
........
h = 12 m
a = 12 - 6
a = 6 m
The base of the sail is 6 meters.
The height of the sale is 12 meters.