The smallest angle of the triangle will be opposite the smallest side and using the cosine rule it works out as 17.9 degrees rounded to one decimal place.
It is 17.9 degrees.
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
A side of the triangle below has been extended to form an exterior angle of 133°. Find the value of x
Let the length of the longest side of the triangle be x units.Since the lengths of the sides of the triangle are consecutive even numbers, which differ by 2, the perimeter of the triangle equals to (x - 4) + (x - 2) + x = 3x - 6.Since the length of the longest side is 22 units shorter than the perimeter, the perimeter of the triangle also equals to x + 22. So that3x - 6 = x + 22 (subtract x and add 6 to both sides)3x - x + 6 - 6 = x - x + 6 + 222x = 28 (divide both sides by 2)x = 14Thus the longest side has a length of 14 units.
A 22 degree angle is an acute angle
The value of tan x would not change.
22/3 sides.-- The smallest possible number of sides for a polygon is 3, in a triangle.If the triangle is regular, then each interior angle is 60 degrees.-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateralis regular, then each interior angle is 90 degrees.-- We can see that as the number of sides increases, the interior angles get bigger.-- So the triangle is the polygon with the smallest interior angles.And those are 60 degrees, so a polygon with all45-degree interior anglesisn't possible. Some of them could be, but never all.
No. For a right angle triangle, the sum of the squares of the shorter sides equals the square of the longer side (the hypotenuse): 22 + 62 = 40 72 = 49
Angle included by 50 and 34 = 21 degrees Angle included by 34 and 22 = 125 degrees Angle included by 22 and 50 = 34 degrees Total = 180 degrees
22, The shortest side is opposite the smallest angle. As it is a right angle triangle, the Sine ratio can be used: Sine = opposite/hypotenuse ⇒ hypotenuse = opposite/sine = 11/sine 30o = 11 ÷ 1/2 = 22
The sum of interior angles of any triangle is 180 degrees. A right triangle is defined as a triangle having one angle that measures 90 degrees. Therefore, it follows that the sum of the remaining two angles will be 90 degrees 90-68=22 The third angle is 22 degrees
1 It's a 3 sided 2 dimensional polygon 2 It has no diagonals 3 Its largest side is less the sum of its smaller sides 4 Its 3 interior angles add up to 180 degrees 5 Its 3 exterior angles add up to 360 degrees 6 It will tessellate leaving no gaps or overlaps 7 It has a perimeter which is the sum of its 3 sides 8 It has an area which is 0.5*base*perpendicular altitude 9 It can form the base of a tetrahedron pyramid 10 It is the 1st building block of all other polygons 11 It has 3 vertices which is the plural of vertex 12 It's a right angle triangle when it has a 90 degree angle 13 It's an obtuse triangle when it has an obtuse angle and 2 different acute angles 14 It's a scalene triangle when it has 3 different acute angle 15 It's an equilateral triangle when it has 3 equal sides 16 It's an isosceles triangle when it has 2 equal sides 17 It's subject Pythagoras' theorem as a right angle triangle 18 It's subject to the rules of trigonometry 19 Its tangent ratio is: opp/adj as a right angle triangle 20 Its sine ratio is: opp/hyp as a right angle triangle 21 Its cosine ratio is: adj/hyp as a right angle triangle 22 Its hypotenuse squared is equal to the sum of its squared sides as right angle triangle
I will assume that this is referring to a triangle. The angles of a triangle add up to 180 degrees. Let the missing angle = a then a + 22 degrees + 51 degrees = 180 degrees a = 107 degrees
There is no such right triangle. You have defined the relationship between three sides of a triangle that does not have a 90 degree angle. In a right triangle the sum of the squares of the shorter sides equals the square of the longest side and 12 + 22 = 5 ; 42 = 16 it does not equal 5 The angles in a triangle with sides 1, 2, 4 units can be found by applying the cosine rule.
105
1 It's a 3 sided polygon which means many sides 2 Its sum of its 2 smaller sides is greater than its longest side 3 It has no parallel sides 4 It has no diagonals 5 It has 3 interior angles that add up to 180 degrees 6 It has 3 exterior angles that add up to 360 degrees 7 It can be a scalene triangle 8 It can be an obtuse triangle 9 It can be an isosceles triangle 10 It can be an equilateral triangle 11 Its longest length is opposite to its largest angle 12 Its hypotenuse is its largest length as a right angle triangle 13 It brought fame to the ancient Greek mathematician Pythagoras 14 Its hypotenuse when square is equal to the sum of its squared sides 15 Its smallest angle is opposite to its shortest side 16 It will tessellate leaving no gaps or overlaps 17 It's a right angle triangle when it has a 90 degree angle and 2 acute angles 18 It can be both an isosceles triangle and a right angle triangle 19 It has a perimeter which is the sum of its 3 sides 20 It has an area which is: 0.5*base*perpendicular altitude 21 Its area is also: 0.5*a*b*sin(A) whereas a and b are sides and A is included angle 22 It's subjected to the rules of trigonometry 23 It's the 1st and foremost building block of other polygons 24 Its 3 corners are vertices which is plural for vertex 25 It has 1 line of symmetry as an isosceles triangle 26 It has 3 lines of symmetry as an equilateral triangle 27 It has rotational symmetry to the order of 3 as an equilateral triangle 28 it's a 2 dimensional shape 29 It can be the base of a 3 dimensional pyramid 30 It can be doubled up to form a 4 sided quadrilateral
Doesn't it depend on what type of triangle it is? And which sides you are measuring? And which side it's laying on?
163.6363... degrees.