Hi Algebra Experts!
Could someone please have a look at this and tell me if it's right?
Problem: The mainsail on a sailboat is a right triangle in which the hypotenuse is called the leech. A 12-foot tall mainsail has a leech of 13 feet. If sailcloth costs $10.00 per square foot, what is the cost of a new mainsail?
x^2 + 12^2 = 13^2
x^2 + 144 = 169
x^2 - 25 = 0
(x-5) (x+5)
x = 5
= 5^2 + 12^2 = 13^2 The measurements of the sail (right triangle)
Formula for the area of a triangle is S= (1)/2 *b*h
S = (1)/2 * 5 * 12
S = 30
Area is 30 sq ft * 10 (dollars per sq foot) = $300 dollars for a new main sail.
What do you think? It seems right but the text did not give us the formula for the area of a triangle. I found that formula on the internet. :?
Grateful,
Julia
Could someone please have a look at this and tell me if it's right?
Problem: The mainsail on a sailboat is a right triangle in which the hypotenuse is called the leech. A 12-foot tall mainsail has a leech of 13 feet. If sailcloth costs $10.00 per square foot, what is the cost of a new mainsail?
x^2 + 12^2 = 13^2
x^2 + 144 = 169
x^2 - 25 = 0
(x-5) (x+5)
x = 5
= 5^2 + 12^2 = 13^2 The measurements of the sail (right triangle)
Formula for the area of a triangle is S= (1)/2 *b*h
S = (1)/2 * 5 * 12
S = 30
Area is 30 sq ft * 10 (dollars per sq foot) = $300 dollars for a new main sail.
What do you think? It seems right but the text did not give us the formula for the area of a triangle. I found that formula on the internet. :?
Grateful,
Julia