Question

1. find the unknown side of the triangle below (round to the nearest tenth). 17 m 28 m x 6.7 m 22.2 m 32.8 m 21.8 m

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 17\), \(b = 28\), and \(c=x\).
So, \(x=\sqrt{17^{2}+28^{2}}\).

Step2: Calculate squares

\(17^{2}=289\), \(28^{2}=784\).
Then \(17^{2}+28^{2}=289 + 784=1073\).

Step3: Find square root

\(x=\sqrt{1073}\approx32.8\) (rounded to the nearest tenth).

Answer:

\(32.8\space m\)