Given:
In △ABC is a right angle triangle.
AC is 6 units longer than side BC.

To find:
The length of AC.
Solution:
Let the length of BC be x.
So, Length of AC = x+6
According to the Pythagoras theorem, in a right angle triangle

△ABC is a right angle triangle and AC is hypotenuse, so

![[\because (a+b)^2=a^2+2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2%5D)
Subtract 68 from both sides.



Divide both sides by 2.

Splitting the middle term, we get




Side cannot be negative, so x=2 only.
Now,



Therefore, the length of AC is 8 units.
Answer:
if you may give me us points u would like to plot
Step-by-step explanation:
i'd be glad to help
Answer:
A. 5:6
Step-by-step explanation:
The scale factor of the smaller figure to the larger = the ratio of a side of the smaller figure to the corresponding side of the larger figure.
Thus, side length of 25 units of the smaller figure corresponds to the side length of 30 units.
Therefore:
Scale factor = 25:30
Simplify
Scale factor of the smaller figure to the larger = 5:6