First, we need to remember that the distance between two points (x1, y1) and (x2, y2) can be calculated with √[ (x1 - x2)^2 + (y1 - y2)^2 ].
Thus, we apply this formula to measure the lengths of AB, BC, and AC in ∆ABC.
AB = √[ (1 - -2)^2 + (7 - 2)^2 ] = √25 = 5 units
BC = √[ (-2 - 4)^2 + (2 - 2)^2 ] = √36 = 6 units
CA = √[ (4 - 1)^2 + (2 - 7)^2 ] = √25 = 5 units
From this, we can clearly see that BC is the longest side of ∆ABC with a length of √36 = 6 units. Thus, the answer is B: 6.
Since ∆ABC sides 5, 5, and 6. That makes it an isosceles triangle. Which makes the right answer to be B: isosceles.
Now, if we form a new triangle, ∆ABD, with D at (1, 2), we have the following lengths:
AB = 5 units
BD = √[ (-2 - 1)^2 + (2 - 2)^2 ] = √9 = 3 units
AD = √[ (1 - 1)^2 + (7 - 2)^2 ] = √25 = 5 units
Similarly, since ∆ABD has sides with lengths of 5, 3, and 5. This means it is isosceles. The answer for this item is B: isosceles.
We have shown above that AD is 5 units. Thus, answer is B: 5<span>.</span>
Answer: The correct option is
(E) 70.
Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.
To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is
Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is
Therefore, the total number of triangles and quadrilaterals is
Thus, option (E) is CORRECT.
Ever hour is 25 so 25*5=125
The answer is 450ml so hope this helps all of you who had this problem
There are several information's already given in the question. based on those information's, the answer can be easily determined.
Height of the box = h cm
Length of the box = 10 cm
Width of the box = 2h
Then
Volume of the box = Length * height * width
= 10 * h * 2h cubic cm
= 20h^2 cm^3
I hope that the above procedure is clear enough for you to understand and it has actually come to your desired help.
