If the point A( x, 2 ) is equidistant from the points B( 8, - 2 ) and C( 2, - 2 ), find the value of x. Also, find the length of AB.
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⚡ STEP-BY-STEP EXPLANATION ⚡
➡ Since the point A is equidistant from both the points B and C, we can write AB=AC.
➡ After that, we use the distance formula.
➡ We can also easily remove the root sign (√) from both left and right hand sides.
➡ We proceeded the equation forward and ultimately, we got x = 5.
➡ Thus, the value of x obtained is 5 and similarly, the point A will be (5,2).
➡ After, that we can easily calculate the length of AB using the distance formula.
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⭐ THE SOLUTION TO YOUR ABOVE QUESTION IS MENTIONED IN THE ABOVE PICTURE.
⭐ I HOPE THE ABOVE SOLUTION IS CLEAR TO YOU.
⭐ FEEL FREE TO ASK ME MORE DOUBTS WHICH STILL EXISTS IN YOU.
==================================
✨✨✨ ALWAYS BE BRAINLY ✨✨✨
➡ Since the point A is equidistant from both the points B and C, we can write AB=AC.
➡ After that, we use the distance formula.
➡ We can also easily remove the root sign (√) from both left and right hand sides.
➡ We proceeded the equation forward and ultimately, we got x = 5.
➡ Thus, the value of x obtained is 5 and similarly, the point A will be (5,2).
➡ After, that we can easily calculate the length of AB using the distance formula.
==================================
⭐ THE SOLUTION TO YOUR ABOVE QUESTION IS MENTIONED IN THE ABOVE PICTURE.
⭐ I HOPE THE ABOVE SOLUTION IS CLEAR TO YOU.
⭐ FEEL FREE TO ASK ME MORE DOUBTS WHICH STILL EXISTS IN YOU.
==================================
✨✨✨ ALWAYS BE BRAINLY ✨✨✨
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