Solve the Proportion: Finding the Missing Term in AD/_ = AE/AC

Question

BC is parallel to DE.

Fill in the gap:

$\frac{AD}{}=\frac{AE}{AC}$

00:00 Complete the missing part

00:03 The lines are parallel according to the given

00:08 Corresponding angles between parallel lines are equal (A)

00:16 Corresponding angles between parallel lines are equal (A2)

00:20 The triangles are similar by AA

00:25 Corresponding sides are opposite to equal angles

00:48 And this is the solution to the question

00:52 Chapter Title

Since we are given that line BC is parallel to DE

Angle E equals angle C and angle D equals angle B - corresponding angles between parallel lines are equal.

Now let's observe that angle D is opposite to side AE and angle B is opposite to side AC, meaning:

$\frac{AE}{AC}$

Now let's observe that angle E is opposite to side AD and angle C is opposite to side AB, meaning:

$\frac{AD}{AB}$