Since ABC is an equilateral triangle, all three sides are the same length. The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us
x + x + x = 96
Combining like terms,
3x = 96
Dividing both sides by 3,
3x/3 = 96/3
x = 32
Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.
<span>Considering that Seth travels with constant speed <span><span>v=<span>dt</span></span><span>v=<span>dt</span></span></span>, then <span><span>v=<span>157.1</span>=<span>x3600</span></span><span>v=<span>157.1</span>=<span>x3600</span></span></span> where <span>xx</span> is the distance traveled in 1 hour. So his velocity would be x miles/hour. By computing <span><span>x=<span><span>3600⋅1</span>57.1</span>=63.047</span><span>x=<span><span>3600⋅1</span>57.1</span>=63.047</span></span>, thus Seth travels at a speed of <span><span>63.047miles/hour</span><span>63.047miles/hour</span></span></span>