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IRINA_888 [86]
2 years ago
7

Rectangle QRST has vertices located at Q(-9, -3), R(-1,-1), S(0,-5) and T(-8, -7). What is the length of side ST?

Mathematics
1 answer:
yaroslaw [1]2 years ago
8 0

Answer:

\huge\boxed{\sf |ST| = 8.2 \ units}

Step-by-step explanation:

S = (x1,y1) = (0,-5)

T = (x2,y2) = (-8,-7)

<u>Using distance formula to find the length of ST</u>.

|ST|= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|ST| = \sqrt{(-8-0)^2+(-7-(-5))^2} \\\\|ST| = \sqrt{(-8)^2+(-7+5)^2} \\\\|ST| = \sqrt{64+(2)^2}\\\\|ST| = \sqrt{64+4} \\\\|ST| = \sqrt{68} \\\\|ST| = 8.2 \ units\\\\\rule[225]{225}{2}

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