SOLUTION: The perimeter of a triangle is the "distance around the outside". If you have a triangle whose sides are a, b, and c, then the perimeter is a+b+c. Your peice of property is a trian

Question 561713: The perimeter of a triangle is the "distance around the outside". If you have a triangle whose sides are a, b, and c, then the perimeter is a+b+c. Your peice of property is a triangle, which is bordered by three square peices of property. The first square (the hypotenuse) has and area of 200 square miles. The second square (side a) has an area of 50 square miles. The third square (side b) has an area of 72 square miles. What is the perimeter of your property?
(HINT: after you simplify your answer, it will be in the form a√b where a is a 2-digit number and b is a one-digit number.)
Please help me figure this out!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The perimeter of a triangle is the "distance around the outside".
If you have a triangle whose sides are a, b, and c, then the perimeter is a+b+c.
Your piece of property is a triangle, which is bordered by three square piece of property.
The first square (the hypotenuse) has and area of 200 square miles.
The second square (side a) has an area of 50 square miles.
The third square (side b) has an area of 72 square miles.
What is the perimeter of your property?
:
Draw a picture of this and it will make sense to you.
Each side of the triangle is the square root of the square on the that side, so you have:
:
P =
:
Factor these values inside to reveal some perfect squares:
P =
;
Extract the square root of these perfect squares
P =
;
note they are all like terms, we can just add them up
p =
RELATED QUESTIONS
If all of the following triangles have the same perimeter, which has the greatest area? (answered by stanbon)

if the perimeter of the triangle is p and a=c then b=... (answered by jim_thompson5910)

The greatest angle of a triangle ABC whose sides are a=5, b=5√3 and c=5 ,is... (answered by Alan3354)

If anglesA,B, and C are the sides of a triangle such that sin(A+B)=1/cos(C) and... (answered by venugopalramana)

the lengths of the sides of a triangle are 18, 12, and 9 units. find the length of the... (answered by Fombitz)

If the perimeter of an equilateral triangle is 12 inches, then the sides are a) 2... (answered by rfer)

If angles A, B, and C are the sides of a triangle such that sin(A+B)=1/cosC and... (answered by venugopalramana)

Express the perimeter of a triangle whose sides are 3x+1, 2x, and... (answered by nerdybill)

A triangle has sides whose measures are consecutive integers. If the perimeter is... (answered by stanbon)