The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°. Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

+ =

+ =

36 + 64 =

100=

=AC

10=AC

can you make your screen more see able?

then i might be able to .

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.