SOLUTION: The height of a triangular sail is 4 yards less than twice the length of its base. If the area of the sail is 24 square​ yards, find the dimensions of the sail. I,m having a li

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Question 1136449: The height of a triangular sail is 4 yards less than twice the length of its base. If the area of the sail is 24 square​ yards, find the dimensions of the sail.
I,m having a little of a hard time with this one any help would be appreciated.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = the length of the base
+2b+-+4+ = the length of the height
+A+=+%281%2F2%29%2Ab%2Ah+
+24+=+%281%2F2%29%2Ab%2A%28+2b+-+4+%29+
+48+=+2b%5E2+-+4b+
+2b%5E2+-+4b+-+48+=+0+
+b%5E2+-+2b+-+24+
----------------------------
+%28+b+-+6+%29%2A%28+b+%2B+4+%29+=+0+
+b+=+6+ ( use the positive result )
+h+=+2b+-+4+
+h+=+2%2A6+-+4+
+h+=+8+
This is a 3-4-5 triangle except it's a 6-8-10
so it's 6 yds x 8 yds x 10 yds