Question

if g is the midpoint of ab, classify each triangle by its angles and sides

Answer 1

Answer:

CFE: Right triangle.

BCE: Acute

BFG: Equilateral

GAF: Obtuse

Step-by-step explanation:

Remember the types of triangles, first the CFE creates a right angle, which is a 90º angle between two of the sides that would be where F is located, so that would be a right triangle.

BCE is an acute triangle since all of its angles are lower than 90º so you don't have any larger than 90º angles, and its sides are not equal to eachother, so different sides and angles below 90º is an acute triangle.

BFG is an equilateral triangle since all of its sides are equal, and it is demonstrated in the figure by putting a little line in the middle of the sides that means that the sides are equal since the three sides of the triangle have them they are all equal making it an equilateral triangle.

GAF is an obtuse triangle, since all of its side are different and it has an angle larger than 90º that creates an obtuse triangle because of its obtuse angle.

Answer 2

Each of the triangles are classified as;

ΔCFE: Right angle triangle.

ΔBEC: Acute triangle

ΔBFG: Equilateral triangle

ΔGAF: Obtuse triangle

1) For the triangle ΔCFE, we can see that it has a right angle at point F. Thus, ∠CFE = 90°. Therefore, we can call ΔCFE right angled triangle.

2) For the triangle ΔBEC, we can see that the three angles namely;∠BEC, ∠BCE, ∠EBC are all less than 90°. Any triangle where the three angles are less than 90° is called acute triangle.

3) For the triangle ΔBFG, we can see that the three sides are equal. Any triangle with it's 3 sides equal is called equilateral triangle.

4) For the triangle ΔGAF, we can see that one of the angles which is ∠G is greater than 90° and any triangle with one of its's angles greater than 90° is called obtuse triangle.

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