Question

pythagorean theorem (no diagram)
score: 0/2 penalty: none
question
one of the legs of a right triangle measures 5 cm and the other leg measures 11 cm. find the measure of the hypotenuse. if necessary, round to the nearest tenth.
answer attempt 1 out of 2

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 5\) cm and \(b=11\) cm.
\[c^{2}=5^{2}+11^{2}\]

Step2: Calculate the squares

\[5^{2}=25\] and \[11^{2}=121\]. Then \(c^{2}=25 + 121=146\).

Step3: Find the value of \(c\)

\[c=\sqrt{146}\approx12.1\] (rounded to the nearest tenth)

Answer:

\(12.1\)