Question

Hiro is creating a larger scaled replica of a triangular canvas.

triangles ABE and ACD on a coordinate plane with point A at 1 comma 0, point C at 2 comma 3 and point D at 5 comma 0, point B is between points A and C and point E is between points A and D

Which of the following expressions will help him determine the length of segment AC?

AC = AD
AC = AB
AC equals AD times AB over AE
AC equals AD times AC over AB

Answer 1

The answer is C

Explanation:

I took the test and got it correct

Answer 2

C - AC equals AD times AB over AE

Explanation:

If Hiro is creating a larger scaled replica of a triangular canvas, then Hiro will get two similar triangles ABE (the small one) and ACD (the large one). Similar triangles have proportional corresponding sides, so

`(AC)/(AB)=(AD)/(AE)`

From this proportion:

`AC=(AD\cdot AB)/(AE)`

So, option C (AC equals AD times AB over AE) is correct option