Question

build your skills

1. use the pythagorean theorem to find the missing side length.

a) 69.3 cm 47.6 cm y

Explanation:

Step1: Recall Pythagorean theorem

The Pythagorean theorem for a right - triangle is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse (the longest side) and \(a\) and \(b\) are the other two sides. In this case, if \(a = 47.6\) cm and \(b=69.3\) cm, and the missing side \(y\) is the hypotenuse, then \(y^{2}=47.6^{2}+69.3^{2}\).

Step2: Calculate the squares

\(47.6^{2}=47.6\times47.6 = 2265.76\) and \(69.3^{2}=69.3\times69.3=4802.49\).

Step3: Add the results

\(y^{2}=2265.76 + 4802.49=7068.25\).

Step4: Find the square - root

\(y=\sqrt{7068.25}=84.1\) cm.

Answer:

\(84.1\) cm