Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
Answer:
![DE=4](https://tex.z-dn.net/?f=DE%3D4)
Step-by-step explanation:
We have been provided a graph of a triangle and we are asked to find the length of segment DE.
Angle bisector theorem states that if a ray bisects an angle of a triangle, then it bisects the opposite side of triangle into segments that are proportional to other two sides.
By angle bisector theorem we can set proportions of the given sides as:
![\frac{DE}{EK}=\frac{DF}{FK}](https://tex.z-dn.net/?f=%5Cfrac%7BDE%7D%7BEK%7D%3D%5Cfrac%7BDF%7D%7BFK%7D)
Upon substituting our given values in above proportion we will get,
![\frac{DE}{2}=\frac{10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BDE%7D%7B2%7D%3D%5Cfrac%7B10%7D%7B5%7D)
Upon multiplying both sides of our equation by 2 we will get,
![\frac{DE}{2}\times 2=2\times \frac{10}{5}](https://tex.z-dn.net/?f=%5Cfrac%7BDE%7D%7B2%7D%5Ctimes%202%3D2%5Ctimes%20%5Cfrac%7B10%7D%7B5%7D)
![DE=2\times 2](https://tex.z-dn.net/?f=DE%3D2%5Ctimes%202)
![DE=4](https://tex.z-dn.net/?f=DE%3D4)
Therefore, the length of segment DE is 4 units.
Answer:
1.8 x 10^3
Step-by-step explanation:
(8.1 x 10^8) / (4.5 x 10^5) = 1800
1800 = 1.8 x 10^3