An angle bisector ac divides a trapezoid abcd into two similar triangles △abc and △acd. find the perimeter of this trapezoid if the leg ab=9 cm and the leg cd=12 cm.

42 cm

Step-by-step explanation:

Given: An angle bisector AC divides a trapezoid ABCD into two similar triangles △ABC and △ACD.

⇒ All the corresponding angles in both triangles are congruent.

Since AC=AC [ reflexive property]

⇒ △ABC ≅△ADC [By AAS congruence theorem]

⇒AB=AD= 9 cm and BC=CD=12 cm [ By CPCTC]

Now, Perimeter of trapezoid =AB+BC+CD+AD

Perimeter of trapezoid

0.6, 3/5, and 6% are the 3 same portion.

but, when they're all changed to a decimal they would equal to 0.6.

hope this , good luck!