Question

4. Find the value of h, if the distance between (h, 3) and (4,5) is v5
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Answer 1

Answer:

h = 5,3

Step-by-step explanation:

d = √(x2-x1)²+(y2-y1)²

√5 = √(4-h)²+(5-3)²

√5 = √(16+h²-8h) + 4

5 = 16 + h² -8h +4 (squaring both sides)

h² -8h + 15 = 0

h²-3h -5h +15

h(h-3) -5(h-3)

h-5 = 0

h = 5

h-3 =0

h =3

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Answer 2

Answer:

Concept:

The distance between two points is the length of the line that connects the two given points. The distance between two points in coordinate geometry can be calculated by finding the length of the line joining the given coordinates.

Find:

We find the value of h

Given:

the distance between (h, 3) and (4,5) is v5

Step-by-step explanation:

The distance between any two points is the length of the line connecting the points. Only one straight line passes through two points. So the distance between two points can be calculated by finding the length of this line joining the two points.

d = √(x2-x1)²+(y2-y1)2

√5= √(4-h)²+(5-3)2

√5= √(16+h²-8h) + 4

516h2-8h +4

h² -8h + 15 = 0. (squaring both sides)

h2-3h-5h +15

h(h-3)-5(h-3)

h-5=0

h = 5

h-3=0

h =3

Hence the h value is 3

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