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.
Acute Triangle
an acute triangle
An acute triangle.
Yes
A triangle with 3 acute angles is an acute triangle. All the angles in an acute triangle are acute.
Not at all.
The area of any triangle is (1/2 the length of its base) x (its height).
No reason why it should, area varies as base and height.
An acute triangle can be an isosceles triangle, but it doesn't have to be. An isosceles triangle can be an acute triangle, but it doesn't have to be.
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.)
An Acute Triangle
An acute triangle.
Acute Triangle
an acute triangle