Question

score on last try: 0 of 1 pts. see details for more.
get a similar question you can retry this question below
find the length of the missing side, x, of the right triangle pictured below.
round final answer to two decimal places.

question help: video
submit question

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 11\), \(b=14\) and hypotenuse \(x\), the Pythagorean theorem is \(a^{2}+b^{2}=x^{2}\). So \(x^{2}=11^{2}+14^{2}\).

Step2: Calculate \(11^{2}+14^{2}\)

\(11^{2}=121\) and \(14^{2}=196\). Then \(x^{2}=121 + 196=317\).

Step3: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{317}\approx17.80\)

Answer:

\(17.80\)