Mathematics, 30.01.2020 14:57 Ezekielcassese

Which set of numbers can represent the side lengths, in millimeters, of an obtuse triangle? 8, 10, 14 9, 12, 15 10, 14, 17 12, 15, 19

Answers: 3

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Answer from: halieysandberg1234

8, 10, 14

Step-by-step explanation:

we know that an obtuse triangle has one angle greater than 90°

By using the Pythagoras Theorem, we can test whether these triangles are obtuse or not .

We need to get the sum of the squares of the two shorter sides and compare with the square of the longer side.

For 8, 10, 14

$8^{2}+10^{2}$

=64+100=164

Thus, it is an obtuse triangle.

For 9, 12, 15

9^2+12^2

=81+144=225=(15)^2

Thus, it is a right triangle.

For 10, 14, 17

10^2+14^2

=100+196=296289(As 17^2=289)

Thus, it is An acute triangle.

For 12, 15, 19

12^2+15^2

=144+225=369361(As 19^2=361)

Thus, it is an acute triangle.

Answer from: zanestone12

8, 10, 14

Step-by-step explanation:

we know that an obtuse triangle has one angle greater than 90°

By using the Pythagoras Theorem, we can test whether these triangles are obtuse or not .

We need to get the sum of the squares of the two shorter sides and compare with the square of the longer side.

For 8, 10, 14

$8^{2}+10^{2}$

=64+100=164

Thus, it is an obtuse triangle.

For 9, 12, 15

9^2+12^2

=81+144=225=(15)^2

Thus, it is a right triangle.

For 10, 14, 17

10^2+14^2

=100+196=296289(As 17^2=289)

Thus, it is An acute triangle.

For 12, 15, 19

12^2+15^2

=144+225=369361(As 19^2=361)

Thus, it is an acute triangle.

Answer from: VBTSPILOTS2945

8mm, 10mm, 14mm

Step-by-step explanation:

we know that an obtuse triangle has one angle greater than $90^{\circ}$

By using corollary to Pythagoras Theorem, we can test whether these triangles are obtuse or not .

We need to get the sum of the squares of the two shorter sides and compare with the square of the longer side.

For 8, 10, 14

$8^2+10^2\\=64+100=164$

⇒ An obtuse triangle.

For 9, 12, 15

$9^2+12^2\\=81+144\\=225\ as\ (15^2=225)$

⇒ A right triangle.

For 10, 14, 17

$10^2+14^2\\=100+196\\=296289\ as\ (17^2=289)$

⇒ An acute triangle.

For 12, 15, 19

$12^2+15^2\\=144+225=369361\ as\ (19^2=361)$

An acute triangle.

Answer from: friskisthebest1

8mm, 10mm, 14mm

Step-by-step explanation:

we know that an obtuse triangle has one angle greater than $90^{\circ}$

By using corollary to Pythagoras Theorem, we can test whether these triangles are obtuse or not .

We need to get the sum of the squares of the two shorter sides and compare with the square of the longer side.

For 8, 10, 14

$8^2+10^2\\=64+100=164$

⇒ An obtuse triangle.

For 9, 12, 15

$9^2+12^2\\=81+144\\=225\ as\ (15^2=225)$

⇒ A right triangle.

For 10, 14, 17

$10^2+14^2\\=100+196\\=296289\ as\ (17^2=289)$

⇒ An acute triangle.

For 12, 15, 19

$12^2+15^2\\=144+225=369361\ as\ (19^2=361)$

An acute triangle.

Answer from: Quest

the equation cos(35) =a/25 can be used to find the length of bc what is the length of bc? round to the nearest tenth

step-by-step explanation:

Answer from: Quest

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

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