Question

Good morning to all
Please answer this

Answer 1

Answer:

B = ( 5, 0 )

C = ( 7 / 2,  3√3 / 2 )  ≈ ( 3.5, 2.6 )     (approx)

Hope this helps!

Step-by-step explanation:

B is 3 units to the right from A  =>  B = (5, 0)

C is half way between A and B in the horizontal direction

 =>  the x-coordinate of C is (2+5)/2 = 7/2

Let h be the height of the triangle, so h is the y-coordinate of C.

Half of the triangle makes a right angled triangle with hypotenuse AC=3 and base half of AB, so 3/2.  By Pythagoras' Theorem:

h² = 3² - (3/2)² = 27/4  =>  h = 3√3 / 2

So C = ( 7 / 2,  3√3 / 2 )

≈ ( 3.5, 2.6 )     (approx)