Could the points (-4,3), (-1,1) and (1,3) form the vertices of a right triangle? Why or why not?

Answers

Answer 1

Answer:

Answer:

The given points of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

Step-by-step explanation:

Given : The points (-4,3), (-1,1) and (1,3)

To find : Could the points form the vertices of a right triangle? Why or why not?

Solution :

First we find the distance between the points so that we get the length of the sides.

Let, A=(-4,3), B=(-1,1), C=(1,3)

Distance formula is

$d=√((x_1-x_2)^2+(y_1-y_2)^2)$

The distance between point A and B

$|AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)$

The distance between point B and C

$|BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)$

The distance between point A and C

$|AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5$

According to property of triangle,

If the square of larger side of triangle is equating to the sum of square of smaller side $a^2=b^2+c^2$ the triangle is right triangle .

Larger side of the triangle is AC=5 unit and smaller sides are $AB=√(13)$ and $BC=√(8)$

$AC^2=AB^2+BC^2$

$5^2=√(13)^2+√(8)^2$

$25=13+8$

$25\neq21$

So, The given points or the vertices of triangle do not form a right triangle because they are satisfying the property of right angle triangle.

Answer 2

Answer: $A=(-4,3),B=(-1,1),C=(1,3)\n |AB|=√((-4+1)^2+(3-1)^2)=√(9+4)=√(13)\n |BC|=√((-1-1)^2+(1-3)^2)=√(4+4)=√(8)\n |AC|=√((-4-1)^2+(3-3)^2)=√(25+0)=5\n L=√(13)^2+√(8)^2=13+8=21\neq5^2\neq\ R$

It's impossible to form right triangle using thes points.

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Fred's Fit Place: 4 month membership every trimonthly

Step-by-step explanation:

Fred's Fit Place is less expensive first of all.

Secondly, You could by a one month membership every month, a two month membership every 6 months, a three month membership every 4 months or a 4 month membership trimonthly. If you do the math, the 4 month membership trimonthly is least expensive.

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Step-by-step explanation:

Please i need help fast
find the missing term
blank 180 30 5

Answers

I think it might be this sort of sequence :
So 5 times 6 =30
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1080
I hope this is right!

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Need help please(•-•)/ \
| |

Answers

1 7/8 more miles he ran than Fred

Answer:

The answer is 1 6/8, but in simplest form 1 3/4.

Step-by-step explanation:

Convert 5 3/8 into an improper fraction then convert 3 5/8 into and improper fraction. 5 3/8 will become 43/8 and 3 5/8 will be 29/8.

So, 43 - 29 = 14, which gives us 14/8. Turn 14/8 into a mixed number, giving you 1 6/8, but since it says to simplest form, 1 6/8 will be 1 3/4. This is our answer in simplest form.

Really hope I helped:)!!

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