Question

pythagorean theorem proofs practice
complete this assessment to review what youve learned. it will not count toward your grade.

triangle ghi is a right triangle. the length of one leg is 11 and the hypotenuse is 22. what is
the length of the other leg? round your answer to two decimal places. (1 point)

check answer remaining attempts 3

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\), \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Let \(a = 11\), \(c=22\), and we need to find \(b\). Then \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 11\) and \(c = 22\) into the formula \(b^{2}=c^{2}-a^{2}\). So \(b^{2}=22^{2}-11^{2}\).

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Step3: Solve for \(b\)

Take the square root of both sides: \(b=\sqrt{363}\approx19.05\)

Answer:

\(19.05\)