Difference between revisions of "1956 AHSME Problems/Problem 27"
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Latest revision as of 21:19, 12 February 2021
Problem 27
If an angle of a triangle remains unchanged but each of its two including sides is doubled, then the area is multiplied by:
Solution
Let the angle be and the sides around it be and . The area of the triangle can be written as The doubled sides have length and , while the angle is still . Thus, the area is
~JustinLee2017
See Also
1956 AHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 26 |
Followed by Problem 28 | |
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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
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