Question

6.6 ft.
3.8 ft.
what is the length of the hypotenuse? if necessary, round to the nearest tenth.
c = feet
submit

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, the Pythagorean theorem is given by \(c^{2}=a^{2}+b^{2}\), where \(a = 3.8\) ft, \(b = 6.6\) ft and \(c\) is the hypotenuse.
So, \(a^{2}=(3.8)^{2}=14.44\) and \(b^{2}=(6.6)^{2}=43.56\).

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

\(a^{2}+b^{2}=14.44 + 43.56=58\)

Step3: Find the value of \(c\)

Since \(c^{2}=58\), then \(c=\sqrt{58}\approx7.6\) (rounded to the nearest tenth)

Answer:

\(7.6\)