Answer: a = 8; b = 15; c = 17
Step-by-step explanation:
c = b + 2 and c = 2a + 1
b = c − 2 and a = ![\frac{c-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bc-1%7D%7B2%7D)
c² = b² + a²
![c^{2} = (c-2)^{2} + \frac{c-1}{2}\\](https://tex.z-dn.net/?f=c%5E%7B2%7D%20%3D%20%28c-2%29%5E%7B2%7D%20%2B%20%5Cfrac%7Bc-1%7D%7B2%7D%5C%5C)
![c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2} }{4}](https://tex.z-dn.net/?f=c%5E%7B2%7D%3D%20%5Cfrac%7B4%20%28c-2%29%5E%7B2%7D%2B%28c%20-%201%29%5E%7B2%7D%20%20%7D%7B4%7D)
![4c^{2}={4 (c^{2} + 4 -4c)+c ^{2} + 1-2c](https://tex.z-dn.net/?f=4c%5E%7B2%7D%3D%7B4%20%28c%5E%7B2%7D%20%2B%204%20-4c%29%2Bc%20%5E%7B2%7D%20%20%2B%201-2c)
![4c^{2}={4 c^{2} + 16 -16c)+c ^{2} + 1-2c](https://tex.z-dn.net/?f=4c%5E%7B2%7D%3D%7B4%20c%5E%7B2%7D%20%2B%2016%20-16c%29%2Bc%20%5E%7B2%7D%20%20%2B%201-2c)
![c^{2}-18c+17=0](https://tex.z-dn.net/?f=c%5E%7B2%7D-18c%2B17%3D0)
![c(c -17)-1(c-17)=0](https://tex.z-dn.net/?f=c%28c%20-17%29-1%28c-17%29%3D0)
c = 1 or c = 17
If c = 1 then b = 1 - 2 = -1, that's not possible
So x = 17
b = 17 - 2 = 15
a = ![\frac{17-1}{2} = 8](https://tex.z-dn.net/?f=%5Cfrac%7B17-1%7D%7B2%7D%20%20%3D%208)
Length sides of the triangle are 17 cm, 15 cm and 8 cm.
I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.
![a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2B%20b%5E%7B2%7D%20%3D%20c%5E%7B2%7D%20%5C%5C8%5E%7B2%7D%20%2B%2015%5E%7B2%7D%20%3D%2017%5E%7B2%7D%20%5C%5C64%20%2B%20225%20%3D%20289%5C%5C289%20%3D%20289%5C%5C)
This shows that this is correct.
Hope this helped! Again, some of this was from a site, not from me.
Answer:
Can you please give us figure so that i can help you
Answer:
x=4.5.
The slope is undefined. Thus the y variable is irrelevant. It appears as though the line crosses through 4.5 on the x axis making the equation
x = 4.5
C = 1.6b
c + b = 442
1.6b + b = 442
2.6b = 442
b = 442 / 2.6
b = 170 <== Boston
c = 1.6b
c = 1.6(170)
c = 272 <== Colorado Springs