Question

find the value of h, if the distance between (h, 3) and (4, 5) is root 5​

Answer 1

Step-by-step explanation:

Let A(h,3) = (x1,y1) and B(4,5) = (x₂,y₂)

d(A,B) = √5

By using Distance formula,

d(A,B) =

$\sqrt{ {(x ₂- x 1})^{2} + {(y₂ - y1)}^{2} }$

$\sqrt{5} = \sqrt{ {(4 - h})^{2} + {(5 - 3)}^{2} }$

$5 = 16 +h - 8h + 4$

$- 7h = -15$

$h = \frac{15}{7}$

Answer 2

Answer:

Step-by-step explanation:

Use distance formula I.e

(5-h)2 +(4-3)2 under root=root 5

On squaring both side we get

25+h2-10h+1=5

h2-10h+21=0

Solving this quadratic equation we get

h2-7h-3h+21=0

(h-7) (h-3)=0

h= 3,7 answer