Difference between revisions of "1988 AHSME Problems/Problem 2"
(Created page with "==Problem== Triangles <math>ABC</math> and <math>XYZ</math> are similar, with <math>A</math> corresponding to <math>X</math> and <math>B</math> to <math>Y</math>. If <math>AB=3,...") |
Quantummech (talk | contribs) (→Solution) |
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==Solution== | ==Solution== | ||
− | + | Since the triangles are similar, we know that the corresponding sides of the triangle are in ratio to each other. | |
− | + | We have <math>\frac{\overline{AB}}{\overline{XY}}=\frac{\overline{BC}}{\overline{YZ}}</math>. Plugging in values we have: | |
+ | <math>\frac{3}{4}=\frac{5}{\overline{YZ}}</math>. Solving for <math>\overline{YZ}</math>, we have <math>\overline{YZ}=6\frac{2}{3}</math>. So, the answer is <math>\boxed{\text{D}}</math>. | ||
== See also == | == See also == |
Latest revision as of 05:21, 31 August 2015
Problem
Triangles and are similar, with corresponding to and to . If , and , then is:
Solution
Since the triangles are similar, we know that the corresponding sides of the triangle are in ratio to each other. We have . Plugging in values we have: . Solving for , we have . So, the answer is .
See also
1988 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 1 |
Followed by Problem 3 | |
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All AHSME Problems and Solutions |
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