SOLUTION: The base of a triangular sail is 16 m shorter than its height. The area is 130m squared. Find the base and height of the sail.
Algebra.Com
Question 1026910: The base of a triangular sail is 16 m shorter than its height. The area is 130m squared. Find the base and height of the sail.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Area of triangle = 1/2(base x height)
Make height = x
Base = x - 16
Area = 1/2(base x height)
130 = 1/2((x - 16) * x) (* times)
130 = 1/2(x^2 - 16x)
130 = x^2/2 - 8x
Put into ax^2 + bx + c = 0 form
x^2/2 - 8x - 130 = 0
Multiply through by 2
x^2 - 16x - 260 = 0
Factorise:
(x + 10)(x - 26)= 0
x + 10 = 0
x = -10 (disregard as -ve)
x - 26 = 0
x = 26
Height of sail = 26m
Base of sail = 10m
Hope this helps :-)
RELATED QUESTIONS
The base of a triangular sail is 19
m shorter than its height. The area is 145 m... (answered by jorel555)
The base of a triangular sail is 14 m shorter than its height. The area is 88 m squared . (answered by ikleyn)
The base of a triangular sail is 5m shorter than its height. The area is 18m^2. Find the... (answered by jim_thompson5910)
The base of a triangular sail is 6m shorter than the height.The area is 20 m^2.Find the... (answered by MathLover1)
The base of a triangular sail is 15 meters shorter than its height.The area is 92m^2.... (answered by Cromlix)
The base of a triangular sail is 15m shorter than its height.The area is 92m^2. Find the... (answered by sudhanshu_kmr)
The base of a triangular sail is 14 m shorter than its height. The area is 120 m^2.... (answered by imapoet_2003)
the base of a triangular sail is 20m shorter than it's height.
the area is 150m2. find... (answered by unlockmath)
the area of a triangular sail for a boat is 160 square feet. if the base of the sail is... (answered by harpazo)