Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
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<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
Answer: The height of the pole is 175.97 ( approx )
Step-by-step explanation:
Let the height of the pole is x cm,
Also, let the angle of elevation of the sun to the pole at 3 pm is 
Thus, by the question,

( at 3pm the height of shadow = height of the pole)


Again, according to the question,
When the angle of elevation is
,
The height of shadow = x + 95,






Answer:
17. 20
18. 50
19. 50
20. 70
21. 110
22. 160
Step-by-step explanation:
I did this assignment already :)
Answer:
x equals to - 5.5 or - 11/2