Classify the following triangle as acute, obtuse, or right
2 answers:
Answer:
Obtuse triangle
Step-by-step explanation:
Obtuse angle:When the angle is greater than 90 degrees and less than 180 degrees then, the angle is called obtuse angle.
Acute angle: When the angle is less than 90 degrees then the angle is called acute angle.
Right angle: When the angle is equal to 90 degrees then, the angle is called right angle
Obtuse triangle: When one angle of triangle is obtuse then, the triangle is called obtuse triangle.
Acute triangle: When all angles of triangle are acute then, the triangle is called acute triangle.
Right triangle: When one angle of triangle is right angle then, the angle is called right triangle.
We are given measurements of angles of a triangle are
126 degrees is greater than 90 and less than 180 degrees , therefore it is an obtuse angle.
Therefore, given triangle is an obtuse triangle because one angle of given triangle is obtuse .
Hence, given triangle is an obtuse triangle.
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The length of GE is 10 units
Explanation:
Given that the length of XY = 5 units and YZ = 4.6 units
<u>The length of GE:</u>
We need to determine the length of GE
From the figure, we can see that ZY bisects GE and XY bisects EF.
The lines ZY and XY both bisect GF.
The midpoint theorem states that "the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side".
Since, we have,
EX = XF and X is the midpoint of EF
GY = YF and Y is the midpoint of GF
Since, XY is the line segment that connects the midpoints of the two sides of the triangle.
Applying the midpoint theorem, we have,
Thus, the length of GE is 10 units.