use the pythagorean theorem to find the length of the hypotenuse of the triangle below.\nshow your work…

use the pythagorean theorem to find the length of the hypotenuse of the triangle below.\nshow your work here\nhint: to add the square root symbol (√), type \root\

use the pythagorean theorem to find the length of the hypotenuse of the triangle below.\nshow your work here\nhint: to add the square root symbol (√), type \root\

Answer

Explanation:

Step1: Apply Pythagorean theorem

$$a^{2}+b^{2}=c^{2}$$ Here (a = 5), (b=12). Substitute into the formula: (5^{2}+12^{2}=c^{2})

Step2: Calculate squares

(5^{2}=25), (12^{2} = 144). Then (25 + 144=c^{2}), so (c^{2}=169)

Step3: Find square root

(c=\sqrt{169})

Answer:

(13)