Sum of all the angles in the triangle has to be 180 degrees.
Let's mark the largest angle as x.
Then, smallest angle will be 0.5x and the middle one x-25.
x + 0.5x +x - 25 = 180, which is after simplyfying:
2.5x = 205
x = 82 degrees -> the largest angle,
x-25 = 57 degrees -> middle one,
0.5x = 41 degrees -> the smallest angle.
Largest = 86, Smallest 26
From smallest to largest is known as putting data in ascending order.
the obtuse angle is the largest angle in a triangle. It spreads from 91 to 179 on a protractor
Cryptogram said 45, but what was the question?There is no punctuation, except for the last "?", so I will assume that when a word is capitalized, it starts a new sentence. Therefore the statements are:In a triangle the measure of the largest angle is 3 times the measureof the smallest angle. The measure of the remainingangle is twice themeasure of the smallest angle.Since "Measure of the largest angle" is a fragment of something, I will discard it (it could be a mistake of leftover text or could be an incomplete thought). I guess that the "?" at the end means that we are supposed to answer something, and the answer could possibly relate to the largest angle. If I supply all the angles, you will hopefully get your answer.Since L=3S and M=2S, and 3S+2S+S=180º, then 6S=180º, so Smallest angle =30ºMiddle angle =60ºLargest angle =90º
the perimeter of a triangle is 86 inches. the largest side is four inches less than twice the smallest side. the third side is 10 inches longer than the smallest side. what is the length of each side?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
80
The angles are, 20°, 50°, and 110°.
The smallest angle would be = 38 degrees. Proof: Base angles of an isosceles triangle must equ All angles of the triangle must add up to 180 degress considering that the known angle is not under 89 degrees the other two must equal, yet both add up to 76 degrees.
In a triangle, the sum of the angles is always 180 degrees. This is known as the angle sum property of triangles. Additionally, the largest angle in a triangle is always opposite the longest side, and the smallest angle is opposite the shortest side.
If you know all three sides of a triangle, you can calculate the angles using the law of cosines. If you only want to know which angle is the smallest, it is much simpler: The angle that is opposite to the smallest side is the smallest angle; the angle that is opposite to the largest side is the largest angle.
Any triangle has its largest angle opposite the longest side, and the smallest angle opposite the shortest side.
It is a characteristic of any triangle that the longest side is opposite the largest angle and the shortest side is opposite the smallest angle.
90o. Let A be the size of the smallest angle. Then the three angles are A, A & 2A. The sum of the angles in a triangle is 180o, thus: A + A + 2A = 180o 4A = 180o A = 45o So the largest angle is 2A = 2 x 45o = 90o.
The angle with the smallest measure is opposite the shortest side. Similarly, the angle with the largest measure is opposite the longest side.
When doing these types of problems, start with the fact that the sum of the angles in any triangle is 180 degrees (Any planar triangle that is.)So let the smallest angle be x. The largest angle is x+100 since we are told the largest angle is 100 degrees larger than the smallest angle.Now the third angle is x+5 by the same reasoning.So now we add x+x+5+x+100=1803x+105=1803x=75so x=25.The smallest angle is 25 degrees.The largest is 125 degrees and the third angle is 30 degree.Note that 125+25+30 is 180 as desired.
Itis neither the largest, second largest or smallest.