Mathematics: What is the perimeter of a triangle with vertices located at (1, 3), (2, 6), and (0, 4), rounded to the nearest hundredth? a. 7.40 units b. 8.49 units c. 9.07 units d. 7.07 units

What is the perimeter of a triangle with vertices

Ответ:

val926

31.12.2021

The perimeter of a triangle is the sum of the lengths of all sides.
Using the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ calculate the lengths of the sides and then add them up.

$A=(1,3) \\
B=(2,6) \\
C=(0,4) \\ \\
\overline{AB}=\sqrt{(2-1)^2+(6-3)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10} \\
\overline{AC}=\sqrt{(0-1)^2+(4-3)^2}=\sqrt{(-1)^2+1^2}=\sqrt{1+1}=\sqrt{2} \\
\overline{BC}=\sqrt{(0-2)^2+(4-6)^2}=\sqrt{(-2)^2+(-2)^2}=\sqrt{4+4}=\sqrt{4 \times 2}= \\
=2\sqrt{2} \\ \\
P=\overline{AB}+\overline{AC}+\overline{BC}=\sqrt{10}+\sqrt{2}+2\sqrt{2}=\sqrt{10}+3\sqrt{2} \approx 7.40$

The answer is A.

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Ответ:

azduce

11.09.2021

Mathematics

thx

Step-by-step explanation:

thx for the free points

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What is the perimeter of a triangle with vertices located at (1, 3), (2, 6), and (0, 4), rounded to the nearest hundredth?
a. 7.40 units
b. 8.49 units
c. 9.07 units
d. 7.07 units

Ответ:

Ответ:

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