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The smallest angle in a triangle measures 90 degrees less than the largest angle The middle angle measures 60 degrees less than the largest angle?
The angles are, 20°, 50°, and 110°.
One angle of a triangle measures 30 degrees If the measures of the other two angles are in the ratio 37 the measure of the largest angle of the triangle is?
The largest angle is 105 degrees. The interior angles of any triangle total 180 degrees. Subracting the 30 degrees of the known angle leaves 150 degrees. The remaining 2 angles must total 150 degrees, and be in the proportion 3:7. The proportion can be stated: 3 is to 7 as x is to 150 - x. Cross-multiplying gives the equations: 450 - 3x = 7x 450 = 10x 45 = x So the remaining angles are 45 degrees and 105 degrees. The angles add to 150 degrees and are in the correct proportion, 3:7, since 3 X 15 = 45, and 7 X 15 = 105.
A right angle triangle is how many degrees?
The sum of all angles in any triangle is 180o The largest angle in aright angle triangle is 90o
In a triangle the measure of the middle angle is triple the measure of the smallest angle and the measure of the largest angle is 55 degrees greater then the measure of the smalest angle Find measures?
x + (3x) + (x + 55) = 1805x + 55 = 1805x = 125x = 25 . . . 3x = 75 . . . x+55 = 80Check . . . 25 + 75 + 80 = 180 yay!
Which of these two regular polygons has the larger exterior angle a triangle or a heptagon?
It is the equilateral triangle that has the largest exterior angle of 120 degrees
What measures of the three angles of a triangle form an arithmetic sequence If the smallest angle measures 45 degrees What is the number of degrees in measure of the largest angle?
80
The smallest angle in a triangle measures 90 degrees less than the largest angle The middle angle measures 60 degrees less than the largest angle?
The angles are, 20°, 50°, and 110°.
Is it true that the largest angle of a triangle is between the two longest sides?
Not always because the largest angle of a right angle triangle is between its smallest sides which measures 90 degrees
The smallest angle in a triangle is one-half the size of the largest The middle angle measures 25degrees less than the largest Find the measures of the three angles?
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.
If the largest angle of an isosceles triangle measures 106 find the measure of the smallest angle?
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.
The largest angle of a triangle is 100 degrees larger than the smallest angle If the third angle exceeds the smallest by 5 degrees how many degrees are there in each angle of the triangle?
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.
Relations among the angles of a triangle?
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.
Is an obtuse triangle a right triangle?
its a triangle * * * * * No, it an obtuse triangle is not a right angle triangle. An obtuse angled triangle has one angle which is greater than 90 degrees and the other two are acute. In a right angled triangle, the largest angle is 90 degrees while the other two are acute. So one cannot be the other.
What are the angles from smallest to greatest in a triangle that has sides of 8.3cm 5.4cm and 7.1cm?
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.
Can the measures of an acute triangle be x x-1 and 2x?
No. Since x + (x-1) + 2x = 180 degrees ie 4x - 1 = 180 degrees, if follows that 2x > 90 degrees. So the largest angle is obtuse.
What is the largest angle of a triangle with sides of 14 cm 8.5 cm and 9 cm?
The largest angle of the triangle will be opposite its largest side and by using the Cosine Rule it works out as 106.23 degrees.
Name the largest angle of the right triangle?
90 degrees
