SOLUTION: Find the perimeter and area of a right triangle if the shortest side is 2.5 m. and the longest side is 6.5 m. Include correct units with each part of your solution.

Algebra ->  Triangles -> SOLUTION: Find the perimeter and area of a right triangle if the shortest side is 2.5 m. and the longest side is 6.5 m. Include correct units with each part of your solution.       Log On


   

Question 401360: Find the perimeter and area of a right triangle if the shortest side is 2.5 m. and the longest side is 6.5 m. Include correct units with each part of your solution.
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
The longest side is 6.5, so the hypotenuse is also 6.5. If you recall the 5-12-13 triangle (i.e. 2.5 = 5x, 6.5 = 13x) we can conclude that the third length is 6. If not we can use %282.5%29%5E2+%2B+k%5E2+=+%286.5%29%5E2 and solve to get k+=+6.

The perimeter is 2.5+%2B+6+%2B+6.5 = 15, and the area is %282.5%29%286%29%2F2 = 7.5.