In the image below, DE ∥ BC. Find the measure of EC. Set up a proportion and solve for the measure. Show your work and label you
r answer. PLEASE HELP ME !!
1 answer:
Answer:
<u>EC = 1 ft</u>
Step-by-step explanation:
DE // BC and AC and AD are transversal lines
∴ ∠E≅∠C ⇒ corresponding angles are congruent
∠D≅∠B ⇒ corresponding angles are congruent
∠A≅∠A ⇒ Reflexive property
∴Δ ADE is similar to ΔABC by AA postulate
So, The corresponding sides are in proportion.
AE = 4 ft , AD = 8 ft , AB = 8 + 2 = 10 ft
AC = AE * AB/AD = 4*10/8 = 40/8 = 5 ft
EC = AC - AE = 5 - 4 = 1 ft
<u>So, the Length of EC = 1 ft.</u>
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