Question

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

Explanation:

Step1: Apply Pythagorean theorem

$$c^{2}=a^{2}+b^{2}$$
Here, \(a = 28\) and \(b = 21\). So, \(c^{2}=28^{2}+21^{2}\).

Step2: Calculate \(a^{2}\) and \(b^{2}\)

\(28^{2}=784\), \(21^{2}=441\). Then \(c^{2}=784 + 441\).

Step3: Sum the values

\(c^{2}=1225\).

Step4: Find \(c\)

\(c=\sqrt{1225}\). Since \(\sqrt{1225}=35\).

Answer:

\(35\)