Wz is perpendicular to vy, wz bisects vy , vz = 2x + 4, and zy = 3x – 4. what is zy?

Hence, the value of:

zy=20

Step-by-step explanation:

It is given that:

wz is perpendicular to vy.

Also wz bisects vy.

We are asked to find the length of the segment zy?

Such that we are given:

vz=2x+4   , zy=3x-4

Since wz bisects vy that means it divides line segment vy into two equal lengths. i.e. vz=zy

Also,

vz=2x+4  and zy=3x-4

Hence,

2x+4=3x-4

⇒ 3x-2x=4+4 ( since taking variable term to one side of the equation and constant term to the other)

⇒ x=8

Hence, the length of segment zy is:

3x-4=3×8-4

3x-4=24-4=20

Hence, the length of zy is 20

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: