BTGmoderatorLU wrote:Source: Princeton Review
Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?
A. 6
B. 4
C. 3
D. 2
E. 1
The OA is E
Note that for a triangle, (1) the sum of any two sides must be greater than the third side and (2) the difference of any two sides must be less than the third side
Let's look at the following possibilities of triangles.
1. Sides: 1 meter, 3 meters, and 5 meters: Not possible since 1 + 3 = 4 < 5.
2. Sides: 1 meter, 3 meters, and 7 meters: Not possible since 1 + 3 = 4 < 7.
3. Sides: 1 meter, 5 meters, and 7 meters: Not possible since 1 + 5 = 6 < 7.
4. Sides: 3 meter, 5 meters, and 7 meters: Possible since 3 + 5 = 8 > 7.
The correct answer:
E
Hope this helps!
-Jay
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