Based on the right-angled triangle ABC, the length of z is equal to: C) 25 cm.
In Mathematics and Geometry, Pythagorean theorem is an Euclidean postulate that can be modeled or represented by the following mathematical equation:
![c^2=a^2+b^2](https://img.qammunity.org/2021/formulas/mathematics/middle-school/byhrr90olo1xo4n215kg0bc367cjwlvx2c.png)
Where:
- a is the opposite side of a right-angled triangle.
- b is the adjacent side of a right-angled triangle.
- c is the hypotenuse of a right-angled triangle.
In order to determine the length of z, we would have to apply Pythagorean's theorem as follows;
![z^2=x^2+y^2\\\\z^2=20^2+15^2\\\\z^2=400+225\\\\z=√(625)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nzpg3ayp6bexg2t7hss6fz658kr31xe2qj.png)
z = 25 cm.
Complete Question:
If x=15 cm and y=20 cm, what is the length of z?
A) 23 cm B) 26cm C)25cm D)27 cm