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Does any obtuse triangle have a greater area than any acute triangle?
Wiki User
∙ 8y ago
No.
Finding an obtuse triangle that does not have a greater area than any acute triangle will show the statement is false:
Consider the obtuse triangle with sides 25, 25, 40 cm; and
the acute triangles with sides 2, 2, 2 cm and 40, 40, 40 cm
Area of (A) obtuse triangle = 40 x 12 ÷ 2 = 240 cm2
Area of (B) acute 2, 2, 2 cm triangle = 2 x √3 ÷ 2 = √3 cm2 ~= 1.7 cm2
Area of (C) acute 40, 40, 40 cm triangle = 40 x (20 x √3) ÷ 2 = 400 x √3 cm2 ~= 692.8 cm2
So you can clearly see that area of acute triangle (C) is greater than that of obtuse triangle (B) which is greater than acute triangle (A).
Thus the area of obtuse triangle (B) is not greater than that of any acute triangle.
(Obtuse triangle A has angles approx 37o, 37o, 106o, whereas triangles B and C are equilateral acute triangles with angles 60o, 60o, 60o.)
Wiki User
∙ 8y ago
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Does obtuse triangle must have greater area than an acute triangle?
yes. take an obtuse triangle that has a base of 8cm and a height of 3cm. then, take a right triangle that has a base of 3 cm and a height of 4 cm. do the math. the obtuse triangle will have a greater area. hope this helps.
What is the area of a obtuse triangle?
klsjflk
What is the area of the obtuse triangle given below 9 and 2?
Area of any triangle is: 0.5*base*height
How do you find the area of an obtuse triangle?
base times height divided by 2.
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
Does any obtuse triangle have a greater area than acute triangle?
Yes
Is it true that a obtuse triangle has a greater area than any acute triangle?
Not at all.
Does an obtuse triangle have a greater area than an acute triangle?
It can have the same area, a greater area or a less area all depending on the dimensions of their 3 sides.
Does obtuse triangle must have greater area than an acute triangle?
yes. take an obtuse triangle that has a base of 8cm and a height of 3cm. then, take a right triangle that has a base of 3 cm and a height of 4 cm. do the math. the obtuse triangle will have a greater area. hope this helps.
Is any obtuse triangle have greater area than any acute triangle?
No,because all the missing space will go to the lenght
Does an acute triangle always have the smaller area than an obtuse triangle?
No reason why it should, area varies as base and height.
What is the area of a obtuse triangle?
klsjflk
What is the area of an acute triangle?
the area referrers to the length and circumference of the triangle it self. The measurement matters to find the acute angle it self as a angle not a triangle
How do you calculate area of obtuse triangle?
Area = 0.5*base*altitude
What is the area of the obtuse triangle given below 9 and 2?
Area of any triangle is: 0.5*base*height
How do you find the area of an acute triangle?
The area of any triangle is (1/2 the length of its base) x (its height).
How do you find the area of an obtuse triangle?
base times height divided by 2.
