find the hypotenuse using pythagorean theorem

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs (a) and (b) and hypotenuse (c), (c^{2}=a^{2}+b^{2}). Here (a = 7) and (b = 13). [c^{2}=7^{2}+13^{2}] [c^{2}=49 + 169] [c^{2}=218]

Step2: Solve for (c)

[c=\sqrt{218}\approx14.76]

Answer:

14.76cm