SOLUTION: Brittany has a flower garden in the shape of a right triangle in her backyard. One leg of the triangle is 6 ft long and the hypotenuse is 10 ft long. What is the perimeter of Bri

Algebra ->  Pythagorean-theorem -> SOLUTION: Brittany has a flower garden in the shape of a right triangle in her backyard. One leg of the triangle is 6 ft long and the hypotenuse is 10 ft long. What is the perimeter of Bri      Log On


   



Question 1176757: Brittany has a flower garden in the shape of a right triangle in her backyard. One leg of the triangle is 6 ft long and the hypotenuse is 10 ft long. What is the perimeter of Brittany’s garden?
Found 2 solutions by princessBelle, MathTherapy:
Answer by princessBelle(3) About Me  (Show Source):
You can put this solution on YOUR website!
Because the triangle of the garden is a right triangle, the Pythagorean theorem can be used to solve the missing side.
(as usual c = the hypotenuse, I will set a = 6 ft and b = missing side)

+a%5E2+%2B+b%5E2+=+c%5E2+ Pythagorean theorem
+c%5E2+-+a%5E2+=+b%5E2+ re-arrange the formula to fit the problem
+10%5E2+-+6%5E2+=+b%5E2+
+100+-+36+=+b%5E2+
+64+=+b%5E2+
+sqrt%28+64+%29+=+sqrt%28+b%5E2+%29+
+8+=+b+

Now that you have a, b and c. You can just add them together to get the perimeter.

+P+=+a+%2B+b+%2B+c+
+P+=+6+%2B+8+%2B+10+
+P+=+24+ft+

Therefore, the perimeter of the garden is 24 ft.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Brittany has a flower garden in the shape of a right triangle in her backyard. One leg of the triangle is 6 ft long and the hypotenuse is 10 ft long. What is the perimeter of Brittany’s garden?
This is a "CLASSIC" 3-4-5, times 2 Pytahgorean Triple. 
So, sides are 2(3):2(4):2(5), or 6:8:10, resulting in perimeter of highlight_green%28matrix%281%2C4%2C+6+%2B+8+%2B+10%2C+%22=%22%2C+24%2C+ft%29%29