Question

Pls answer

Answer 1

The distance between the two points is 8.9 units.

(8, 15, 17) is a Pythagorean triplet.

Step-by-step explanation:

Find the distance between (-5, -8) and (-1, -16).

Given points are;

(-5,-8) and (-1,-16)

$x_1 = -5 \ \ \ \ \ \ y_1=-8\\x_2=-1 \ \ \ \ \ \ y_2=-16$

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

$Distance=\sqrt{(-1-(-5))^2+(-16-(-8))^2} \\Distance=\sqrt{(-1+5)^2+(-16+8)} \\Distance=\sqrt{(4)^2+(-8)^2} \\Distance=\sqrt{16+64} \\Distance=\sqrt{80} \\Distance=8.94\ units$

Rounding off to nearest tenth,

Distance = 8.9 units

The distance between the two points is 8.9 units.

Which of the following is a Pythagorean triplet?

We will apply pythagoras theorem on these sets to determine pythagorean triplet.

a²+b²=c²

(8, 15, 17)

a=8, b=15, c=17

$8^2+15^2=17^2\\64+225=289\\289=289$

The given set is a Pythagorean triplet.

(2, 3, 5)

a=2, b=3, c=5

$2^2+3^2=5^2\\4+9=25\\13\neq 25$

The given set is not a Pythagorean triplet.

(5, 7, 9)

a=5, b=7, c=9

$5^2+7^2=9^2\\25+49=81\\74\neq 81$

The given set is not a Pythagorean triplet.

(6, 9, 11)

a=6, b=9, c=11

$6^2+9^2=11^2\\36+81=121\\117\neq 121$

The given set is not a pythagorean triplet.

(8, 15, 17) is a Pythagorean triplet.

Keywords: Pythagoras theorem, points

Learn more about Pythagoras theorem at:

• brainly.com/question/1628795
• brainly.com/question/1636703

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