Question

t.3 pythagorean theorem: find the missing leg or hypotenuse l...
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = millimeters

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here \(a = 20\) mm, \(c=29\) mm, and we need to find \(b\).

Step2: Rearrange the formula

\(b^{2}=c^{2}-a^{2}\). Substitute \(a = 20\) and \(c = 29\): \(b^{2}=29^{2}-20^{2}\).

Step3: Calculate squares

\(29^{2}=841\), \(20^{2}=400\). So \(b^{2}=841 - 400\).

Step4: Subtract

\(b^{2}=441\).

Step5: Take square root

\(b=\sqrt{441}\). Since \(\sqrt{441}=21\).

Answer:

\(21\)