Question

find the value of 'a' if the distance between the points (a,2) and (3,4)is root 8​

Answer 1

answer

distance between points

(a,2)----(3,4)....is √8

To find↪value of (a)

using formula

$\sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} }$

$\sqrt{8} = \sqrt{(3 - a) {}^{2} + (4 - 2) {}^{2} }$

$\sqrt{8 } = \sqrt{9 + a {}^{2} - 6a + 4}$

$\sqrt{8} = \sqrt{a {}^{2} - 6a + 13 }$

$8 = a { }^{2} + 13 - 6a$

$- 5 = a {}^{2} - 6a$

$- 5 + 6a = a {}^{2}$

$\sqrt{ - 5 + 6a} = a$

Answer 2

Answer:

Step-by-step explanation:

Its correct