Question

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

Answer 1

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

$2 < y < 12$