Question

pythagorean unit practice
the diagram represents a ramp in the shape of a right triangle and the lengths of two of its sides in feet.
what is the length of the ramp in feet?

Explanation:

Step1: Recall Pythagorean theorem

For a right - triangle with legs \(a\) and \(b\) and hypotenuse \(c\), \(a^{2}+b^{2}=c^{2}\). Here \(a = 11\) and \(b=60\).

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

\(a^{2}=11^{2}=121\), \(b^{2}=60^{2}=3600\).

Step3: Find \(c^{2}\)

\(c^{2}=a^{2}+b^{2}=121 + 3600=3721\).

Step4: Calculate \(c\)

\(c=\sqrt{3721}=61\).

Answer:

61