SOLUTION: FIND THE PERIMETER AND AREA OF A RIGHT TRIANGLE IF ONE LEG MEASURES 9MI AND THE OTHER LEG MEASURES 40MI. PLEASE EXPLAIN HOW TO SOLVE

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Question 498658: FIND THE PERIMETER AND AREA OF A RIGHT TRIANGLE IF ONE LEG MEASURES 9MI AND THE OTHER LEG MEASURES 40MI. PLEASE EXPLAIN HOW TO SOLVE
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can find the area of any triangle by:
A+=+%281%2F2%29b%2Ah Where b = the length of the base and h = the height of the triangle.
It doesn't matter which leg you call the base, so we'll say b+=+9 and h+=+40, so...
A+=+%281%2F2%29%289%29%2840%29
highlight%28A+=+180%29 square miles.
To find the perimeter, you'll need to know the length of the hypotenuse of the right triangle. Use the Pythagorean theorem: a%5E2%2Bb%5E2+=+c%5E2 where: a+=+9, b+=+40, and c is the length of the hypotenuse.
9%5E2%2B40%5E2+=+c%5E2 Evaluate.
81%2B1600+=+c%5E2
1681+=+c%5E2 Take the square root of both sides.
41+=+c So the length of the hypotenuse = 41 miles.
Now you can add the three sides to get the perimeter P.
P+=+9%2B40%2B41=90miles.