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Order the side length CD, DE, and EC from least to greatest

Order the side length CD, DE, and EC from least to greatest-example-1
User WindChimes
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Answer:

DE < EC < CD

Explanation:

In a triangle, the shortest side is always opposite the shortest angle, and the longest side is opposite the longest angle.

We are given: ∠E = 76°, ∠D = 63°

Given that the angles in a triangle always sum up to 180°, we can find the measure of ∠C.

∠C + ∠D + ∠E = 180 ⇒ ∠C + 63 + 76 = 180 ⇒ ∠C + 139 = 180 ⇒ ∠C = 41°

Now, let's order the angles from least to greatest.

∠C, ∠D, ∠E. Taking the sides that are opposite from each of the angles, we get: DE < EC < CD.

User Kdazzle
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