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3 years ago

What is the range of possible sizes for side x? the other two sides are 8.0 and 8.5

Mathematics

1 answer:

kirza4 [7]3 years ago

8 0

Answer: 0.5 < x < 16.5.

Step-by-step explanation:

Given: Two sides of triangle: 8.0 units and 8.5 units

Measure of third side = x

According to the triangle's inequality,

Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)

If x is the third side, then

x < 8+8.5 [Using (i)]

i.e. x< 16.5

Also, x > 8.5-8 [Using (ii)]

i.e. x> 0.5

Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.

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