Q: Is any obtuse triangle have greater area than any acute triangle?

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Not at all.

It can have the same area, a greater area or a less area all depending on the dimensions of their 3 sides.

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

Area = 0.5*base*altitude

Right triangle square rectangles

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Yes

Not at all.

It can have the same area, a greater area or a less area all depending on the dimensions of their 3 sides.

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; andthe acute triangles with sides 2, 2, 2 cm and 40, 40, 40 cmArea of (A) obtuse triangle = 40 x 12 ÷ 2 = 240 cm2Area of (B) acute 2, 2, 2 cm triangle = 2 x √3 ÷ 2 = √3 cm2 ~= 1.7 cm2Area of (C) acute 40, 40, 40 cm triangle = 40 x (20 x √3) ÷ 2 = 400 x √3 cm2 ~= 692.8 cm2So 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.)

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.

No reason why it should, area varies as base and height.

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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

Area = 0.5*base*altitude

Area of any triangle is: 0.5*base*height

The area of any triangle is (1/2 the length of its base) x (its height).

base times height divided by 2.