Mathematics, 01.08.2019 12:30 brockmorrison3468
Given a triangle with vertices p(-9,7), q(-3,7), and r(-3,1), and s is the midpoint of pq and t is the midpoint of qr, what is the length of st?
Answers: 1
![\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\ \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &S&(~ -6 &,& 7~) % (c,d) &T&(~ -3 &,& 4~) \end{array}\\\\\\ % distance value d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ ST=\sqrt{[-3-(-6)]^2+[4-7]^2}\implies ST=\sqrt{(-3+6)^2+(4-7)^2} \\\\\\ ST=\sqrt{3^2+(-3)^2}\implies ST=\sqrt{18}\implies ST=\sqrt{9\cdot 2} \\\\\\ ST=\sqrt{3^2\cdot 2}\implies ST=3\sqrt{2}](/tpl/images/0158/1776/08132.png)
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Given a triangle with vertices p(-9,7), q(-3,7), and r(-3,1), and s is the midpoint of pq and t is t...
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