Question

Question 1a: Triangle RST has vertices located at R (2, -3), S (4, 2), and T (6, 0). PART A: Find the length of SR. Show your work SR= ____

Answer 1

Given,

The coordinates of the vertices of the triangle is R (2, -3), S (4, 2), and T (6, 0).

The coordinates of point S is (4, 2).

The coordinates of point R is (2, -3).

The distance between two points is calculated as:

$Distance\text{ =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substituting the values then,

$\begin{gathered} SR\text{ =}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ SR=\sqrt{(4-2)^2+(2+3)^2} \\ SR=\sqrt{2^2+5^2} \\ SR=\sqrt{4+25} \\ SR=\sqrt{29} \end{gathered}$

Hence, the length of SR is sqrt(29).