Question

please help me will give metal


What is the length of AC ?

Answer 1

A. 128
B. 108
C. 136
D. 144

Answer 2

From the figure, what can you conclude about the two triangles ABC and EDC?

Answer 3

its asking for the length of ac but i dont get how to do it

Answer 4

"metal" is something else...anyway,

Are the 2 triangles on your diagram proportional ?

Answer 5

yes

Answer 6

The figure shows two right triangles. The right angles are congruent.
In addition, angle ACB is congruent to angle ECD.
Since there are two angles of one triangle congruent to two angles of a second triangle, the triangles are similar.

Once you know the triangles are similar, the lengths of corresponding sides are proportional.

Can you tell which pairs of sides are corresponding?

Answer 7

AB &ED

Answer 8

AC & EC

Answer 9

Excellent.
Since the triangles are similar, the lengths of these sides are proportional. that means the ratios of the lengths of corresponding sides are equal.

Answer 10

The ratio of AB to ED is
AB:ED or AB/ED

The ratio of AC to EC is
AC:EC or AC/EC

I'll switch to the equation editor to make it easier to read.

The ratios are equal, so we get this proportion:

\( \dfrac{AB}{ED} =\dfrac{AC}{EC} \)

Ok so far?

Answer 11

yeah i get it a little but can you explain more @mathstudent55

Answer 12

i got it it was 144 @mathstudent55