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LekaFEV [45]
3 years ago
7

The two shorter sides of an obtuse triangle measure 15 inch and 3 ft describe the length of the longest side

Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

The length of the longest side are all real numbers greater than 39 inches and less than 51 inches

Step-by-step explanation:

we know that

In an obtuse triangle

c^{2} >a^{2}+b^{2}

where

c is  the length of the longest side

a and b are the two shorter sides

Convert the dimensions in inches

1\ ft=12\ in

3\ ft=3*12=36\ in

substitute the values

c^{2} >15^{2}+36^{2}

c^{2} >1,521

c >39 in

Applying the triangle inequality Theorem

1) 15+36 >c

c

2)  c+15 >36

c>21 in

therefore

The length of the longest side belong to the interval (39,51)

All real numbers greater than 39 inches and less than 51 inches

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