Question

question 6 (multiple choice worth 2 points) (triangle trigonometry lc) the legs of a right triangle measure 6 feet and 9 feet. what is the length of the hypotenuse? 15 feet 58.5 feet 5.5 feet 10.8 feet

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(c^{2}=a^{2}+b^{2}\). Here \(a = 6\) and \(b = 9\).
So \(c^{2}=6^{2}+9^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(6^{2}=36\) and \(9^{2}=81\). Then \(c^{2}=36 + 81=117\).

Step3: Find \(c\)

\(c=\sqrt{117}\approx 10.8\) (rounded to one decimal place).

Answer:

10.8 feet