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

pakistan's principal natural resources are arable land and water. about 25% of pakistan's agriculture accounts for about 21% [1] of gdp and employs about 43% of the labour force. in pakistan, the most agricultural province is punjab where wheat and cotton are the most grown.

Answer from: Quest

(8+64)^2= 5184 < answer

step-by-step explanation:

2^3 = 8

4^3= 64

(8+64)^2 = 5184