Answer:
using Pythagoras theorem 11/2 is the largest side so let a=9/10 b=11/5 c=11/2
a²+b²=c²
(9/10)²+(11/5)²=(11/2)²
81/100+121/25=121/4
lcm of 25 and 100 =100
(81+484)/100=121/4
565/100=121/4
113/20=121/4
since they are not equal therefore it's not a right angle triangle
Answer:
The required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
Step-by-step explanation:
![z_1=6[\cos (\frac{5\pi}{4}) + i\sin(\frac{5\pi}{4})]...........(1)\\\\Now,\cos (\frac{5\pi}{4})=\cos(\pi+\frac{\pi}{4})\\\\=-\cos(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}\\\\And,\sin (\frac{5\pi}{4})=\sin(\pi+\frac{\pi}{4})\\\\=-\sin(\frac{\pi}{4})\\\\=-\frac{1}{\sqrt{2}}](https://tex.z-dn.net/?f=z_1%3D6%5B%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%20%2B%20i%5Csin%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%5D...........%281%29%5C%5C%5C%5CNow%2C%5Ccos%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Ccos%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Ccos%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5C%5C%5C%5CAnd%2C%5Csin%20%28%5Cfrac%7B5%5Cpi%7D%7B4%7D%29%3D%5Csin%28%5Cpi%2B%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Csin%28%5Cfrac%7B%5Cpi%7D%7B4%7D%29%5C%5C%5C%5C%3D-%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D)
On substituting the obtained values in equation (1)
![z_1=6[\frac{-1}{\sqrt{2}}-i\cdot \frac{1}{\sqrt{2}}]\\\\\implies z_1=-3\sqrt{2}- 3\sqrt{2}\cdot i](https://tex.z-dn.net/?f=z_1%3D6%5B%5Cfrac%7B-1%7D%7B%5Csqrt%7B2%7D%7D-i%5Ccdot%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5D%5C%5C%5C%5C%5Cimplies%20z_1%3D-3%5Csqrt%7B2%7D-%203%5Csqrt%7B2%7D%5Ccdot%20i)
Hence, the required rectangular form of the given complex polar form :
z1 = -3√2 - 3√2i
Where’s the image ? It isn’t loading
This is an equilateral triangle (a triangle with 3 equal/congruent sides and 3 congruent angles)
Since you know the sides have to be the same/equal to each other, you can set the sides equal to each other (you can just do two because all of the sides are suppose to be the same anyways)
BC = AC
5x = 3x + 6 Subtract 3x on both sides
2x = 6 Divide 2 on both sides
x = 3
