Question

Find ST if S(-3, 10) and T(-2, 3).

Answer 1

Answer:

$ST = 5\sqrt{2}$

Step-by-step explanation:

Given:

S(-3, 10)

T(-2, 3)

Required:

ST

SOLUTION:

Use the distance formula, $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$, to find ST.

Where,

$S(-3, 10) = (x_1, y_1)$

$T(-2, 3) = (x_2, y_2)$

$ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2}$

$ST = \sqrt{(1)^2 + (-7)^2}$

$= \sqrt{1 + 49}$

$= \sqrt{50} = \sqrt{25*2}$

$ST = 5\sqrt{2}$