Given: The coordinate of R,S,T is (2,3), (4,4) and (5,0) respectively.
To find: Where we need to find the length of each side of the triangle RST
The slope of each side of the triangle RST.
and classify the triangle.
Solution:
Part A:
length of RS=
![\sqrt{(4-2)^2+(4-3)^2}\\=\sqrt{2^2 +1}\\=\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B%284-2%29%5E2%2B%284-3%29%5E2%7D%5C%5C%3D%5Csqrt%7B2%5E2%20%2B1%7D%5C%5C%3D%5Csqrt%7B5%7D)
Length of ST=
![\sqrt{(4-5)^2+(4-0)^2}\\=\sqrt{(-1)^2 +4^2}\\=\sqrt{17}](https://tex.z-dn.net/?f=%5Csqrt%7B%284-5%29%5E2%2B%284-0%29%5E2%7D%5C%5C%3D%5Csqrt%7B%28-1%29%5E2%20%2B4%5E2%7D%5C%5C%3D%5Csqrt%7B17%7D)
Length of TR=
![\sqrt{(5-2)^2+(0-3)^2}\\=\sqrt{3^2 +(-3)^2}\\=\sqrt{18}](https://tex.z-dn.net/?f=%5Csqrt%7B%285-2%29%5E2%2B%280-3%29%5E2%7D%5C%5C%3D%5Csqrt%7B3%5E2%20%2B%28-3%29%5E2%7D%5C%5C%3D%5Csqrt%7B18%7D)
Part B:
Slope of RS=
![\frac{4-3}{4-2}\\=\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B4-3%7D%7B4-2%7D%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
Slope of ST=
![\frac{0-4}{5-4}\\=\frac{-4}{1}\\=-4](https://tex.z-dn.net/?f=%5Cfrac%7B0-4%7D%7B5-4%7D%5C%5C%3D%5Cfrac%7B-4%7D%7B1%7D%5C%5C%3D-4)
Slope of TR=
![\frac{3-0}{2-5}\\=\frac{3}{-3}\\=-1](https://tex.z-dn.net/?f=%5Cfrac%7B3-0%7D%7B2-5%7D%5C%5C%3D%5Cfrac%7B3%7D%7B-3%7D%5C%5C%3D-1)
Part C:
As all the side length of this triangle are unequal so this triangle is scalene.
I say no, doctors should always come looking professional and ready to work, casual looks will make them blend in with the crowd .
6/7 is in its simplest form. You cannot simplify it anymore than it is.
Answer:
A) 3, 4, 5, 6, 7, 8
Step-by-step explanation:
2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8
Just divide 402 by 8
402 is in the house 8 is on the outside