Question

what is the approximate distance from one corner of the soccer field to the opposite corner? 60 yards 100 yards 80 yards 130 yards 117 yards 160 yards

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem for a right - triangle is $a^{2}+b^{2}=c^{2}$, where $a = 60$ yards, $b = 100$ yards and $c$ is the diagonal distance. So $c=\sqrt{60^{2}+100^{2}}$.

Step2: Calculate squares

$60^{2}=60\times60 = 3600$ and $100^{2}=100\times100 = 10000$. Then $60^{2}+100^{2}=3600 + 10000=13600$.

Step3: Calculate square - root

$c=\sqrt{13600}\approx116.62$. Rounding to the nearest whole number, $c\approx117$ yards.

Answer:

117 yards