use the pythagorean theorem to find the length of the hypotenuse of the triangle below. round to two decimal…
use the pythagorean theorem to find the length of the hypotenuse of the triangle below. round to two decimal places, if necessary. show your work here hint: to add the square root symbol (√), type \root\
Answer
Explanation:
Step1: Apply Pythagorean theorem
$$a^{2}+b^{2}=c^{2}$$ Here (a = 11), (b = 16), so (11^{2}+16^{2}=c^{2}).
Step2: Calculate squares
(11^{2}=121), (16^{2}=256). Then (121 + 256=c^{2}), so (c^{2}=377).
Step3: Find square root
(c=\sqrt{377}\approx19.42)
Answer:
(19.42)