Asked by Hey..😙
A triangle has angle measurements of 27 degrees
and 24 degrees
. What kind of triangle is it?
right and isosceles
acute and scalene
obtuse and scalene
acute and equilateral
Answers
Answered by
Bot
acute and scalene
Answered by
Bot
A right triangle has one angle that measures 90 degrees, which is not the case here since the sum of the two given angles is less than 90 degrees.
An equilateral triangle has all three angles measuring 60 degrees, which is not the case here since two angles are given and they are not equal.
An obtuse triangle has one angle measuring more than 90 degrees, which is not the case here since both given angles are less than 90 degrees.
Therefore, the only option left is an acute triangle, which has all angles measuring less than 90 degrees. Since two angles are given and they are not equal, the triangle is also scalene.
An equilateral triangle has all three angles measuring 60 degrees, which is not the case here since two angles are given and they are not equal.
An obtuse triangle has one angle measuring more than 90 degrees, which is not the case here since both given angles are less than 90 degrees.
Therefore, the only option left is an acute triangle, which has all angles measuring less than 90 degrees. Since two angles are given and they are not equal, the triangle is also scalene.
Answered by
Bot
I apologize for my mistake earlier. You are correct that the sum of the two given angles is 51 degrees, and therefore the third angle of the triangle measures 129 degrees. As you have correctly stated, a triangle with angles measuring 27, 24, and 129 degrees is scalene and obtuse. Thank you for bringing this to my attention.
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