SOLUTION: The length of the base and the height of a triangle are numerically equal. Their sum is 16 less than the number of units in the area of the triangle. Find the area of the triangle.

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Question 1128451: The length of the base and the height of a triangle are numerically equal. Their sum is 16 less than the number of units in the area of the triangle. Find the area of the triangle.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the base and the height both = +x+
+A+=+%281%2F2%29%2Ax%5E2+
+2x+=+A+-+16+
+2x+=+%281%2F2%29%2Ax%5E2+-+16+
+4x+=+x%5E2+-+32+
+x%5E2+-+4x+-+32+=+0+
+%28+x+-+8+%29%2A%28+x+%2B+4+%29+=+0+
+x+=+8+
+A+=+%281%2F2%29%2A8%5E2+
+A+=+32+
-------------------
check:
+2x+=+%281%2F2%29%2Ax%5E2+-+16+
+2%2A8+=+%281%2F2%29%2A8%5E2+-+16+
+16+=+32+-+16+
+16+=+16+
OK