0
Let us understand this concept by taking three points A(2, 5), B(4, 6) and C (8, 8).
Now, we have to prove that the points A(2, 5), B(4, 6) and C (8, 8) are Collinear.
Let B divides AC in the ratiok: 1
Then the coordinates of B will be
But the coordinates of B are (4, 6)
Comparing we get
⇒8k + 2 = 4k + 4 are 8k + 5 = 6k+ 6
⇒8k - 4k = 4 - 2 are 8k - 6k= 6 - 5
⇒ 4k = 2 are 2k= 1
so here the value of k in both points are same so .....hope u get the answer
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How do you prove the 3 points are colinear?
To prove that three points are colinear, pick two points and form the equation of the line they describe, and then see if the third point lies on that line.
If three points are given then how do you prove that they are collinear?
0). Considering any TWO points, you can calculate the slope of the line between them like this: Slope = (difference between the y-values of the two points) divided by (difference between the x-values of the two points). Use this technique to examine your THREE points, like this: 1). Calculate the slope of the line between Point-2 and Point-1. 2). Calculate the slope of the line between Point-3 and Point-1. 3). If the two slopes are equal, then the three points all lie on the same line.
How would you use the distance formula and the slope formula to prove that this figure is actually a rectangle?
You would first prove that 3 of the sides are the same size (The 4th is automatically the same size as the other three). Then, you would prove that there are three right angles in the shape, using the slopes (If lines make a right angle, they are perpendicular and their slopes are negative reciprocals of each other.).
How do you prove the formula for the volume of a square pyramid?
You really can't "prove" the formula. You use it. You first square the base 'b'. Then, you multiply that number by the height 'h'. Then, you divide the product of the base squared and height by 3. Boom! You get your answer. In my school, we get a formula sheet with all the formulas we will need to use. If you didn't understand the description above, here is the formula for a square pyramid:1/3b2 h.Hope this helped!
How do you prove Heron's Formula?
We can prove Heron's formula by the equation method. First of all we should know the height of the triangle and the three sides. The working is given below: s=(a+b+c)/2 We must then find: s-a s-b s-c By data, √[s(s-a)(s-b)(s-c)] =1/2bh If the answers are equal, then Heron's Formula has been proved.
