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In ΔCDE, m∠C = 86° and m∠D = 58°. Which statement about the sides of ΔCDE must be true?

In ΔCDE, m∠C = 86° and m∠D = 58°. Which statement about the sides of ΔCDE must be-example-1
User Emilio
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1 Answer

12 votes
12 votes

ANSWER

DE > EC > CD

Step-by-step explanation

Let us make a sketch of triangle CDE:

Let us first find the measure of angle E.

The sum of angles in a triangle is 180 degrees. This means that:

58 + 86 + 144 + =>

The sine of the angle of a triangle and side opposite that triangle is proportional for every angle and side of a triangle.

That is, the ratio of the sine of an angle and the side opposite that angle is constant for a triangle. This is known as the Sine Law.

This law implies that the bigger an angle of a triangle is, the larger the side opposite it and vice versa.

Therefore, since DE > EC > CD

That is the answer.

In ΔCDE, m∠C = 86° and m∠D = 58°. Which statement about the sides of ΔCDE must be-example-1
User MnZrK
by
2.9k points