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Question 1178998: The top right corner of a standard
8.5 by 11 sheet of paper is
folded down and left to align
with the left edge, and the
bottom right corner is folded up
and left so that the fold lines
look like the diagram below.
What is the area of triangle
ABC formed by the right edge
and the fold lines?
https://media.discordapp.net/attachments/802751414874537995/834207319092494387/unknown.png
Answer by greenestamps(13198)   (Show Source):
You can put this solution on YOUR website!
The distance from B to the top right corner of the paper and the distance from C to the bottom right corner of the paper are both 11-8.5=2.5 inches; that makes BC 6 inches.
The two triangles are similar; the ratio of the lengths of the bases is 6:11, so the ratio of their heights is 6:11.
So the height of triangle ABC is 6/17 of 8.5 inches, which is 3 inches.
So triangle ABC has base 6 inches and height 3 inches; its area is one-half base times height, which is 9 square inches.
ANSWER: 9 square inches
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