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On a piece of paper, use a protractor to construct a triangle with angle measures of 60° and 80°. I Which statements about this triangle are true? Select all correct answers.​

On a piece of paper use a protractor to construct a triangle with angle measures of 60 and 80 I Which statements about this triangle are true Select all correct class=

Respuesta :

Answer:

Option A

Option C

Option D

Step-by-step explanation:

Triangle attached in image~

A) It is an acute triangle (Yes)

Before we put reasonings why this is true, let's find the missing angle in the triangle.

  • ⇒ 60 + 80 + x = 180°
  • ⇒ 140 + x = 180°
  • ⇒ x = 180 - 140
  • ⇒ x = 40°

This triangle is an acute triangle because all angles in the triangle are acute, as 80°, 60°, 40° are acute angles.

B) Two sides have the same length (No)

Two sides can only be the same if two angles are equivalent. Since all angles are different, two sides cannot have the same length.

C) All sides have different lengths (Yes)

Since all angles are unalike, the triangle has different side lengths.

D) The third angle measures 40° (Yes)

  • ⇒ 60 + 80 + x = 180°
  • ⇒ 140 + x = 180°
  • ⇒ x = 180 - 140
  • ⇒ x = 40°

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