[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.
- We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.
[tex] \large{ \tt{❁ \: LET'S \: START }: }[/tex]
- Set up an equation & solve for p :
[tex] \large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}[/tex]
[tex] \large{ \tt{↦ \frac{1}{2} p = p - 30}}[/tex]
[tex] \large{ \tt{↦ \frac{1}{2} p - p = - 30}}[/tex]
[tex] \large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}[/tex]
[tex] \large{ \tt{↦p - 2p = - 60}}[/tex]
[tex] \large{ \tt{ ↦ \: - p = - 60}}[/tex]
[tex] \large{ \tt{↦p = 60}}[/tex]
[tex] \large{ \tt{❇ \: REPLACING \: VALUE}} : [/tex]
[tex] \large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}[/tex]
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