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alukav5142 [94]
3 years ago
8

Geometry

Mathematics
1 answer:
vova2212 [387]3 years ago
7 0
X = length of third side
The third side is unknown and can't be determined to be one fixed number. However, we can find a set of values or a range of acceptable values

If we know that 
a = 6
b = 7
are the two given sides, then we can say

b-a < x < b+a
7-6 < x < 7+6
1 < x < 13

So the third side x can be between 1 and 13. 
The third side cannot be equal to 1 unit or 13 units because a triangle would not form. Instead a straight line would form.

Note: This idea is using the triangle inequality theorem

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\sf \frac{6}{30}  =  \frac{x}{100}

Solve for x by cross multiplication

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\boxed{ \tt \: x = 20}

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Read 2 more answers
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