Question

rebecca ran the width of a field, a distance of 35 yards. then she ran the length of the field, a distance of 84 yards. how far apart are opposite corners of the field? yards

Explanation:

Step1: Identify the problem type

The field's length and width form a right - triangle, and we need to find the hypotenuse.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is $a^{2}+b^{2}=c^{2}$, where $a = 35$ and $b = 84$. So $c=\sqrt{35^{2}+84^{2}}$.

Step3: Calculate the squares

$35^{2}=35\times35 = 1225$ and $84^{2}=84\times84=7056$.

Step4: Add the squares

$1225 + 7056=8281$.

Step5: Find the square root

$c=\sqrt{8281}=91$.

Answer:

91