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How do you work out the interior angles and area of a triangle that has sides of 2cm 3cm and 4cm?
Wiki User
∙ 13y ago
Use the cosine rule
ref: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/furthertrigonometryhirev2.shtml
Improved Answers:-
Sketch a triangle and label the vertices A, B and C then label the opposite sides a, b, and c respectively with the given dimensions.
Use: cos A = (b2+c2-a2)/(2*b*c) then rearrange the formula to find the other angles or use the sine rule.
For the area use: 1/2*b*c*sin A
A = 104.4775122 degees
B = 46.56746344 degrees
C = 28.95502437 degrees
Area = 2.904737751 square cm
Usually the above figures are rounded off to about 3 decimal places
Wiki User
∙ 13y ago
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What is the attributes of a triangle?
A triangle is a closed area with 3 sides and 3 angles. The interior angles add up to 1800 and the exterior angles add up to 3600.
What are 4 characteristics about triangle?
1 It's a 2 dimensional shape with 3 sides and 3 nterior angles 1 It's a 2 dimensional shape with 3 sides and 3 interior angles 2 Its 3 interior angles add up to 180 degrees 3 It can tessellate 4 It has perimeter which is the sum of its 3 sides 5 It has an area which is 0.5*base*height 6 It can be a scalene triangle 7 It can be a right angle triangle 8 It can be an obtuse triangle 9 It can be an equilateral triangle 10 It can be an isosceles triangle
How are equilateral triangle and an isosceles triangle alike?
-- both have three angles -- both have three sides -- the interior angles of each add up to 180 degrees -- neither has any side longer than the sum of the other two sides -- both have at least two equal angles -- both have at least two equal sides -- the area of each is half the product of its base and its height
What is a characteristic of an isosceles triangle?
It has 3 sides 2 of which are equal in lengths It has 3 interior angles 2 of which are equal in size Its 3 interior angles add up to 180 degrees It has 1 line of symmetry It will tessellate It has a perimeter which is the sum of its 3 sides It has an area which is 0.5*base*perpendicular height It has no diagonals
How are an equilateral triangle and a scalene triangle a like?
They both have 3 sides They both have 3 interior angles that add up to 180 degrees They both have no diagonals They both have a perimeter which is the sum of their 3 sides They both will tessellate They both have an area which is 0.5*base*height
What is the attributes of a triangle?
A triangle is a closed area with 3 sides and 3 angles. The interior angles add up to 1800 and the exterior angles add up to 3600.
What are 4 characteristics about triangle?
1 It's a 2 dimensional shape with 3 sides and 3 nterior angles 1 It's a 2 dimensional shape with 3 sides and 3 interior angles 2 Its 3 interior angles add up to 180 degrees 3 It can tessellate 4 It has perimeter which is the sum of its 3 sides 5 It has an area which is 0.5*base*height 6 It can be a scalene triangle 7 It can be a right angle triangle 8 It can be an obtuse triangle 9 It can be an equilateral triangle 10 It can be an isosceles triangle
What are the theorems of an isosceles triangle?
It has 3 sides It has 3 interior angles that add up to 180 degrees Its 2 base angles are equal It has 2 equal sides It will tessellate It has a perimeter which is the sum of its 3 sides It has an area which is 0.5*base*perpendicular height
How are equilateral triangle and an isosceles triangle alike?
-- both have three angles -- both have three sides -- the interior angles of each add up to 180 degrees -- neither has any side longer than the sum of the other two sides -- both have at least two equal angles -- both have at least two equal sides -- the area of each is half the product of its base and its height
What is a characteristic of an isosceles triangle?
It has 3 sides 2 of which are equal in lengths It has 3 interior angles 2 of which are equal in size Its 3 interior angles add up to 180 degrees It has 1 line of symmetry It will tessellate It has a perimeter which is the sum of its 3 sides It has an area which is 0.5*base*perpendicular height It has no diagonals
How are an equilateral triangle and a scalene triangle a like?
They both have 3 sides They both have 3 interior angles that add up to 180 degrees They both have no diagonals They both have a perimeter which is the sum of their 3 sides They both will tessellate They both have an area which is 0.5*base*height
How do you measure triangle?
It depends on what you wish to measure: the lengths of sides, the angles, the area, the perimeter.
How are an isosceles triangle and an equilateral triangle the same?
They both are 2 dimensional triangular shapes with 3 sides They both have 3 interior angles that add up to 180 degrees They both have 3 exterior angles that add up to 360 degrees They both have a perimeter They both have an area
Why is an equilateral triangle equivalent to an isosceles triangle?
They both have 3 sides They both have 3 interior angles that add up to 180 degrees They both have 3 exterior angles that add up to 360 degrees They both will tessellate They both have an area that is 0.5*base*perpendicular height They both have a perimeter which is the sum of their 3 sides They both can be doubled up to form quadrilaterals But an equilateral triangle has 3 equal sides whereas an isosceles triangle has only 2 equal sides
What are at least 12 facts about the triangle?
It has 3 sides It has no diagonals It has 3 interior angles It has 3 exterior angle Interior angles add up to 180 degrees Exterior angles add up to 360 degrees Can be right angled Can be equilateral Can be obtuse Can be isosceles Can be scalene Multiples of a triangle can form other polygons Its lengths, area and angles can be determined by means of trigonometry Pythagoras' theorem is applicable to all right angle triangles
How many diffrent parts does a triangle have that can be specified or measured?
It has 3 sides It has 3 exterior angles that add up to 360 degrees It has 3 interior angles that add up to 180 degrees It has a perimeter which is the sum of its 3 sides It has an area which is: 0.5*base*perpendicular height It has no diagonals It will tessellate It can be a scalene triangle having 3 different acute angles It can be an obtuse triangle having 1 obtuse angle and 2 different acute angle It can be a right angle triangle having a 90 degree angle and 2 acute angles It can be an isosceles triangle having 2 equal sides and 2 equal acute angles It can be an equilateral triangle having 3 equal sides and 3 equal 60 degree angles It is subject to the rules of trigonometry
What is the area of a triangle if angle a equals 42 degrees angle b equals 87 degrees and angle c equals 24 degrees?
A triangle with interior angles of 42, 87 and 24 degrees doesn't exist because the angles add up to 153 degrees whereas the interior angles of any triangle always add up to 180 degrees.
