Question

If the distance between the points A (2, -2) and B (-1, x) is equal to 5, then the value of x is:​

Answer 1

$\huge{HeyMate}$

ANSWER

Construction: Join C and mid-point of AB 

Now, AECD is a rhombus 

⇒∠ADC=∠AEC=100o 

∠BEC=180o−100o=80o

And, ∠EBC=∠ECB (opposite sides are equal) 

⇒∠EBC+∠ECB+∠BEC=180o 

⇒∠EBC=50o