use the pythagorean theorem to find the unknown side of the right triangle. hypotenuse length = (simplify…
use the pythagorean theorem to find the unknown side of the right triangle. hypotenuse length = (simplify your answer. type exact answers, using radicals as needed.)
Answer
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 = 15) and (b = 36).
Step2: Substitute values into the formula
(c^{2}=15^{2}+36^{2}). Calculate (15^{2}=225) and (36^{2}=1296). Then (c^{2}=225 + 1296=1521).
Step3: Solve for (c)
Take the square root of both sides: (c=\sqrt{1521}). Since (39\times39 = 1521), (c = 39).
Answer:
39