Question

what is the answer of this question?​

Answer 1

a.c. = 26 is the answer

Answer 2

Answer:

26

Step-by-step explanation:

Consider ΔBMC, by pythagoras theorem:

BC²=BM²+CM²

BC²=(2√30)²+6²

BC²=156

BC=√156

BC=2√39

Consider ΔBMA,

BM²+AM²=AB²

AB=√[(2√30)²+x²]                                 (where AM=x)

AB=√[120+x²]

Consider Δ ABC,

AB²+BC²=AC²

{√[120+x²]}²+{2√39}²={x+6}²

120+x²+156=x²+12x+36

120+156-36=12x

x=240/12

x=20=AM

∴AC=AM+MC

AC=20+6

AC=26