Respuesta :
Given: Two sides of a triangles measure 5 cm and 9 cm.
An angle measure of the triangle is 128 degrees.
Since 128 degrees is greater than 90 degrees and less than 180 degrees, the triangle is obtuse. Therefore option A) acute isosceles and option E) acute scalene does not apply.
option F) obtuse right is also not possible, as the sum of angles of a triangle is 180 degrees, the sum of the other two angles is 180-128=52 degrees. Therefore, none of the other two angles could be 90 degrees.
option C) Obtuse equilateral is not possible because, in an equilateral triangle all angles are 60 degrees.
In a scalene triangle, all angles and all sides are different. Therefore, the triangle could be Option B) obtuse scalene
In a scalene triangle, two angles and the sides opposite to them are equal. since we only know the measures of two sides of the triangle, it could be Option D) Obtuse isosceles.
So, the answer is: It could be option B) Obtuse Scalene or option D) Obtuse isosceles.
An angle measure of the triangle is 128 degrees.
Since 128 degrees is greater than 90 degrees and less than 180 degrees, the triangle is obtuse. Therefore option A) acute isosceles and option E) acute scalene does not apply.
option F) obtuse right is also not possible, as the sum of angles of a triangle is 180 degrees, the sum of the other two angles is 180-128=52 degrees. Therefore, none of the other two angles could be 90 degrees.
option C) Obtuse equilateral is not possible because, in an equilateral triangle all angles are 60 degrees.
In a scalene triangle, all angles and all sides are different. Therefore, the triangle could be Option B) obtuse scalene
In a scalene triangle, two angles and the sides opposite to them are equal. since we only know the measures of two sides of the triangle, it could be Option D) Obtuse isosceles.
So, the answer is: It could be option B) Obtuse Scalene or option D) Obtuse isosceles.
The type of triangle from the one with dimensions and angle we are given could be;
Option B; obtuse scalene
Option D; obtuse isosceles
We are given the two sides of the triangle as 5 cm and 9 cm.
Now, the triangle has an angle that measures 128°.
This angle is more than 90° but less than 180°.
Any triangle with an angle greater than than 90° but less than 180° is called an Obtuse triangle.
Now, we are given two sides that are not equal but we are not given the third side. Now, there are two possibilities for the third side. The third side could either not be equal to any of the other two sides or it may be equal to one of the other two sides.
If the third side is not equal to any of the other two sides, then the triangle is said to be a scalene triangle. However, if the third side is equal to any of the other 2 sides, then the triangle is said to be an Isosceles triangle.
In conclusion, combining all the statements above, we can say that the triangle is either Obtuse Scalene or Obtuse Isosceles.
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