anonymous
  • anonymous
help please Determine if triangle RST with coordinates R (3, 4), S (5, 5), and T (6, 1) is a right triangle. Use evidence to support your claim. If it is not a right triangle, what changes can be made to make it a right triangle? Be specific.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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ganeshie8
  • ganeshie8
Given two points, do you know how to find the slope of line segment joining them?
anonymous
  • anonymous
y1-y2/x1-x2 ?
ganeshie8
  • ganeshie8
Yes |dw:1440914513651:dw|

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ganeshie8
  • ganeshie8
start by finding the slope of the sides : RS, ST and TR
ganeshie8
  • ganeshie8
R (3, 4), S (5, 5) slope of line segment RS = ?
anonymous
  • anonymous
R and S 4-5/3-5 = 1/2
anonymous
  • anonymous
Slope of S and T 5-1/5-6 = -4/1 or 4
anonymous
  • anonymous
Slope of T and R 4-1/3-6 = 3/-3 or -1
ganeshie8
  • ganeshie8
|dw:1440914894502:dw|
ganeshie8
  • ganeshie8
what do you know about the relation between "perpendicular sides" and "slope" ?
anonymous
  • anonymous
Thats what i dont know:/
ganeshie8
  • ganeshie8
For a right triangle we know that two sides are perpendicular. Here is the relation which we can use : If two sides are perpendicular, then their slopes multiply to \(-1\).
ganeshie8
  • ganeshie8
multiply all the pairs of slopes does any pair produces -1 ?
ganeshie8
  • ganeshie8
|dw:1440915252458:dw|
ganeshie8
  • ganeshie8
similarly check the other two pairs of sides too
anonymous
  • anonymous
R and S (1/2)*(1/2) = 0.25 T and R -1*1/2= -0.25
ganeshie8
  • ganeshie8
careful, we're multiplying the slope of "sides" not slope of "points" points dont have slope
ganeshie8
  • ganeshie8
|dw:1440915698682:dw|