Difference between revisions of "1988 AJHSME Problems/Problem 9"
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==Problem== | ==Problem== | ||
− | An [[isosceles triangle]] is a [[triangle]] with two [[ | + | An [[isosceles triangle]] is a [[triangle]] with two [[edge|sides]] of equal [[length]]. How many of the five triangles on the [[square]] grid below are isosceles? |
<asy> | <asy> |
Revision as of 13:03, 21 July 2009
Problem
An isosceles triangle is a triangle with two sides of equal length. How many of the five triangles on the square grid below are isosceles?
Solution
The first triangle has two legs of length , the second has two legs of length 2, the leg lengths of the third triangle are
,
, and
, two legs of the fourth triangle have length
, and two legs of the fifth triangle have length
. Therefore all of the triangles in the diagram except the third are isosceles, and there are
are isosceles.
See Also
1988 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 8 |
Followed by Problem 10 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
All AJHSME/AMC 8 Problems and Solutions |