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padilas [110]
3 years ago
5

In a certain triangle x,y,z represents side lengths if x=7 and z=5 what must be true about y

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

Answer:

2 < y < 12

Step-by-step explanation:

Given

x = 7

z = 5

Required

What must be true about y?

To answer this, we first calculate the range as follows;

Minimum = |x - z|

and

Maximum = |x + z|

For Minimum, we have:

Minimum = |7 - 5|

Minimum = |2|

Minimum = 2

For Maximum, we have:

Maximum = |7 + 5|

Maximum = |12|

Maximum = 12

The values of y are then bounded by the following:

Minimum < y < Maximum

This gives

2 < y < 12

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