Question

If the distance between the pt (4, K) (y ,0)is 5 what
can be the possible value
of k​

Answer 1

Answer:

Drawing a picture is nearly always helpful. So here we have a y axis with zero and k marked on it, and an x axis with 1 and 4 marked on it. We draw a triangle, and notice the sides are 3 (along the x axis) and k along the y axis, and 5 along the diagonal. We know this is a right angle triangle because the axes are at right angles, and before too long, you will easily remember something special about the sides of a few rt angle triangles; they can be 1 and 1 and square root 2, or 3,4, and 5. These are particular cases of a very handy construction of the Greek mathematician Pythagoras which holds that the sum of the squares on the opposite sides equal the square on the hypotenuse. The integers which make up this construction are called Pythagorean triples, of which I show some examples below. Almost nobody remembers the ones after 3,4,5 though.

3, 4, 5

5, 12, 13

7, 24, 25

8, 15, 17

9, 40, 41

12, 35, 37 and so on….

Anyway: here we have a triangle with one side = 3, the diagonal (hypotenuse) = 5 and this fits the first triple perfectly: 3,4,5 You can easily see that k must be 4.

Step-by-step explanation:

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