Question

What is the length of segment RS

Answer 1

The length of segment RS must be 13 units.

To find this, you can make a right triangle by connecting points R and S at a common point to form a right angle. The segments made would be 5 units and 12 units long. Using the Pythagorean Theorem, the segment RS must be 13 units.

Answer 2

Answer: 13 units

Explanation:

The length of line segment AB with points
`A(x_1,y_1)\ and\ B(x_2,y_2)` is given by distance formula as :

`\text{AB}=√((x_2-x_1)^2+(y_2-y_1)^2)`

Now, the length of line segment RS with points
`R(-4,-3)\ and\ S(1,9)` is given by distance formula as :

`\text{RS}=√((1-(-4))^2+(9-(-3))^2)\\\Rightarrow\ RS=√((5)^2+(12)^2)\\\Rightarrow\ RS=√(25+144)=√(169)\\\Rightarrow\ RS=13`

Hence, the length of segment RS= 13 units