SOLUTION: 11. A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 units. Find the perimeter of the triangle.

Algebra ->  Triangles -> SOLUTION: 11. A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 units. Find the perimeter of the triangle.      Log On


   



Question 732615: 11. A right triangle has legs with lengths x units and 7 units. The hypotenuse has length x+1 units. Find the perimeter of the triangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Use pythagorean theorem
+x%5E2+%2B+7%5E2+=+%28+x+%2B+1+%29%5E2+
+x%5E2+%2B+7%5E2+=+x%5E2+%2B+2x+%2B+1+
Subtract +x%5E2+ from both sides
+49+=+2x+%2B+1+
+2x+=+48+
+x+=+24+
+x+%2B+1+=+25+
The perimeter is:
+x+%2B+7+%2B+x+%2B+1+=+24+%2B+7+%2B+25+
+2x+%2B+8+=+56+
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check:
+x%5E2+%2B+7%5E2+=+%28+x+%2B+1+%29%5E2+
+24%5E2+%2B+7%5E2+=+25%5E2+
+576+%2B+49+=+625+
+625+=+625+
OK