Answer:
Step-by-step explanation:
I'll let you solve it, but I will tell you how to
Ever heard of Thales theorem? If you haven't, here's what it is:
If a line parallel to one of the bases of a triangle is drawn, then the new triangle formed and the original triangle are similar
Why? They are similar because of AA (two equal angles):
∠AEB = ∠ADC since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
∠ABE = ∠ACD since EB and DC are parallel (on a transversal they are corresponding angles which are congruent)
Now this is enough information to determine that they are similar, but just for good measure, ∠A is common to both triangles so:
∠A = ∠A because of reflexive property
Now that we know they are similar, corresponding parts of similar triangles are similar
Create a ratio and solve is by cross-multiplying
Let me know if you have any questions! Hope this helps! Have a nice day/night :)
