Answer:
1) The length of
is 20.
2) The length of
is 17.
Step-by-step explanation:
1) If
and
, then we can use the following proportionality ratio:
(1)
Where
is the length of segment
.
If
, then the value of
is:
![2 = \frac{32-x}{26-x}](https://tex.z-dn.net/?f=2%20%3D%20%5Cfrac%7B32-x%7D%7B26-x%7D)
![52 - 2\cdot x = 32 - x](https://tex.z-dn.net/?f=52%20-%202%5Ccdot%20x%20%3D%2032%20-%20x)
![20 = x](https://tex.z-dn.net/?f=20%20%3D%20x)
The length of
is 20.
2) If
and
, then we can use the following proportionality ratio:
(2)
Where
is the length of segment
.
If
, then the value of
is:
![2 = \frac{x-7}{5}](https://tex.z-dn.net/?f=2%20%3D%20%5Cfrac%7Bx-7%7D%7B5%7D)
![10 = x-7](https://tex.z-dn.net/?f=10%20%3D%20x-7)
![x = 17](https://tex.z-dn.net/?f=x%20%3D%2017)
The length of
is 17.