Question

if the hypontenuse is 35 and one leg is 21, what is the size of the other leg? 41 28 rewatch submit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \(a^2 + b^2 = c^2\), where \(c\) is hypotenuse, \(a\) and \(b\) are legs. Let \(c = 35\), \(a = 21\), find \(b\). So \(b=\sqrt{c^2 - a^2}\).

Step2: Substitute values

\(c^2=35^2 = 1225\), \(a^2 = 21^2=441\). Then \(c^2 - a^2=1225 - 441 = 784\).

Step3: Take square root

\(b=\sqrt{784}=28\).

Answer:

28 (the option with 28, so the checkbox next to 28 should be selected)