The largest angle will be opposite the biggest side which is 14 cm and so by using the cosine rule its angle works out as 106.23 degrees rounded to two decimal places.
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.
Using the cosine rule the angle can be found:Largest angle is opposite largest side→ A = arc cos ((14² - 9² - 8.5²)/(2 × 9 × 8.5)) ≈ 73.8°For the area, use Heron's formulaLet S = half the perimeter = ½(14 + 9 + 8.5) = 15.75Area = √(s(s - a)(s - b)(s - c))= √(15.75 × (15.75 - 14) × (15.75 - 9) × (15.75 - 8.5))≈ 36.73 sq cm.Alternatively, you can use the Sine ratio on the largest angle and the two shorter sides:area ≈ ½ × 9 × 8.5 × sin 73.8 ≈ 36.73 sq cmAnother Answer: The largest angle of the triangle is 106.23 degrees and its area is 36.73 square cm both rounded to two decimal places
The largest angle will be opposite the longest side which is 14 cm and by using the cosine rule it works out as 106.23 degrees rounded to two decimal places and its area is 0.5*9*8.5*sin(106.23) = 36.726 square cm to three decimal places.
It is an equilateral triangle that has 3 equal sides of 14 cm
Let the Isosceles Triangle be ∆ ABC with sides AB = AC = 14', and BC = 17' Draw a line bIsecting angle BAC. This line will be perpendicular to and bisect BC at point D. Then ∆ DBA (or ∆ DCA) is a right angled triangle with AB the hypotenuse. Angle ABD = Angle ABC is one of the two equal angles of the isosceles triangle. Cos ABD = BD/AB = 8.5/14 = 0.607143, therefore Angle ABC = 52.62° The third angle of the triangle is 180 - (2 x 52.62) = 180 - 105.24 = 74.76° The angles are therefore 52.62° , 52.62° and 74.76° .
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.
Using the cosine rule the angle can be found:Largest angle is opposite largest side→ A = arc cos ((14² - 9² - 8.5²)/(2 × 9 × 8.5)) ≈ 73.8°For the area, use Heron's formulaLet S = half the perimeter = ½(14 + 9 + 8.5) = 15.75Area = √(s(s - a)(s - b)(s - c))= √(15.75 × (15.75 - 14) × (15.75 - 9) × (15.75 - 8.5))≈ 36.73 sq cm.Alternatively, you can use the Sine ratio on the largest angle and the two shorter sides:area ≈ ½ × 9 × 8.5 × sin 73.8 ≈ 36.73 sq cmAnother Answer: The largest angle of the triangle is 106.23 degrees and its area is 36.73 square cm both rounded to two decimal places
The largest angle will be opposite the longest side which is 14 cm and by using the cosine rule it works out as 106.23 degrees rounded to two decimal places and its area is 0.5*9*8.5*sin(106.23) = 36.726 square cm to three decimal places.
It is an equilateral triangle that has 3 equal sides of 14 cm
Let the Isosceles Triangle be ∆ ABC with sides AB = AC = 14', and BC = 17' Draw a line bIsecting angle BAC. This line will be perpendicular to and bisect BC at point D. Then ∆ DBA (or ∆ DCA) is a right angled triangle with AB the hypotenuse. Angle ABD = Angle ABC is one of the two equal angles of the isosceles triangle. Cos ABD = BD/AB = 8.5/14 = 0.607143, therefore Angle ABC = 52.62° The third angle of the triangle is 180 - (2 x 52.62) = 180 - 105.24 = 74.76° The angles are therefore 52.62° , 52.62° and 74.76° .
A triangle tri meaning3 is impossible to have more than 3 sides.
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
An scalene triangle.
it is an acute triangle.
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
Yes they could. The only requirement is that if you add any two sides together they are longer than the third. 19 + 13 > 14; 19 + 14 > 13, and 13 + 14 > 19, so those sides can make a triangle.
The isosceles triangle has a perimeter of: 14+14+9 = 37 feet