Step-by-step explanation: We have to check under which condition a triangle will exist. According to angle sum property of the triangle, the sum of all the three angles of a triangle is 180 degrees.An acute angle is an angle with a a measure less than 90 degreesA right angle is an angle with a measure of 90 degrees.An obtuse angle is an angle with a measure of greater than 90 degrees. 1. It is possible to have triangle with three acute angle Example: A triangle with all the three angles of 60 degrees 2. It is possible to have a triangle with 2 acute angles and 1 right angle. Example: A triangle with all the two angles of 45 degrees and one right angle. 3. It is not possible to have a triangle with 1 acute angle, 1 right angle and 1 obtuse angle. It will violate the angle sum property of triangle. 4. It is not possible to have a triangle with 1 acute angle and 2 obtuse angles. It will violate the angle sum property of triangle. 5. It is possible to have a triangle with 2 acute angles and 1 obtuse angle. Example: A triangle with all the angles of 45 degrees, 40 degrees and 95 degrees
3 acute angles and 2 acute angles, 1 obtuse angle and 2 acute angles, 1 right angle Step-by-step explanation: the key is just to imagine it also you have to know that right angle is 90° acute is less than 90° and obtuse is more than 90°
Answer 6
therefore three acute angles, eg. 60, 60 and 60 degrees can make up a triangle 2 acute angles and a right angle, say 45 and 45 degrees and 90 degrees make a triangle any obtuse angle + a right angle will be larger than 180 degrees, so no triangle can exist. another acute angle will make the number of degrees even larger any 2 obtuse angles will make a number larger than 180 degrees, so with an acute angle is impossible 2 acute and an obtuse angle is possible, say 40, 40 and 100 degrees
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle Or 1, 2 , 5 Step-by-step explanation:
abe Step-by-step explanation:
Answer 7
Triangles DON’T exist for:1 acute angle, 1 right angle, 1 obtuse angle1 acute angle, 2 obtuse angles
The correct answer is
3 acute angles
2 acute angles, 1 right angle
2 acute angles, 1 obtuse angle
Further Explanation The basic properties of triangles include
In a triangle, all the sum of the angle is 180 degree and it is also referred to as angle sum property.
In a triangle, the sum of the two sides is greater than the sum of the third side.
In a triangle, the longest side is the side that opposite the largest angle and vice versa. A triangle refers to a closed figure with a three-line segment and three angles. The three types of a triangle based on size are:
Equilateral triangle
, Isosceles triangle and Scalene triangle
An equilateral triangle is a triangle where the lengths of all the three sides are equal
An isosceles triangle is a triangle where its two sides are equal
A scalene triangle is a triangle that has three sides with different length However, the three types of a triangle based on angles include:
Acute-angled triangle: in Acute-angled triangle, all its angle are acute
Obtuse-angled triangle: in Obtuse-angled triangle, one its angle is obtuse
Right-angled triangle: in the Right-angled triangle, one of its angles is a right angle. Therefore, the correct answer is 3 acute angles, 2 acute angles, 1 right angle, 2 acute angles, 1 obtuse angle
LEARN MORE: Under which angle conditions could a triangle exist? Check all that apply. 1/2 of an obtuse angle is a(n): A. Obtuse angle. B. Acute angle KEYWORDS: right-angled triangleacute angles2 acute anglesobtuse anglea scalene triangle
3 acute angles. 2 acute angles, 1 right angle. 2 acute angles, 1 obtuse angle. Step-by-step explanation: The 3 angles in a triangles add up to 180 degrees. Acute angles are < 90 degrees. A right angle = 90 degrees, Obtuse angles are > 90 degrees.
Answer 6
therefore three acute angles, eg. 60, 60 and 60 degrees can make up a triangle 2 acute angles and a right angle, say 45 and 45 degrees and 90 degrees make a triangle any obtuse angle + a right angle will be larger than 180 degrees, so no triangle can exist. another acute angle will make the number of degrees even larger any 2 obtuse angles will make a number larger than 180 degrees, so with an acute angle is impossible 2 acute and an obtuse angle is possible, say 40, 40 and 100 degrees
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