Question

find the positive value of m for which the distance between the points A(5,-3) and B13,m) is 10 units. (BOARD 2019)​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Location of point A = (5,-3)

Location of point B = (13,-3)

Location of point C = (13,M)

The straight distance between point A and B =(13-5)=8

The The straight distance between point A and C = 10

Therefore

The straight distance between point B and C

$BC=\sqrt{{AC^{2}}-AB^{2}}\\\\\Rightarrow{BC}=\sqrt{{10^{2}-8^{2}}}\\\\\Rightarrow{BC}=\sqrt{100-64}\\\\\Rightarrow{BC}=\sqrt{36}\\\\\Rightarrow{BC}=6$

$CD=BC-BD=6-3=3$

Therefore the value of M = 3