
- 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.

- Set up an equation & solve for p :









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Answer:

Step-by-step explanation:
Use the Pythagorean Theorem:
![\displaystyle a^2 + b^2 = c^2 \\ \\ 9,7^2 + b^2 = 13,3^2; \sqrt{82,8} = \sqrt{b^2} \\ \\ \frac{3\sqrt{230}}{5}\:[or\:9,0994505329...] = b](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%5E2%20%2B%20b%5E2%20%3D%20c%5E2%20%5C%5C%20%5C%5C%209%2C7%5E2%20%2B%20b%5E2%20%3D%2013%2C3%5E2%3B%20%5Csqrt%7B82%2C8%7D%20%3D%20%5Csqrt%7Bb%5E2%7D%20%5C%5C%20%5C%5C%20%5Cfrac%7B3%5Csqrt%7B230%7D%7D%7B5%7D%5C%3A%5Bor%5C%3A9%2C0994505329...%5D%20%3D%20b)
So, you have this:

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