False. The equation for area of a triangle is 1/2 base x height. The height and the base would have to be the same for two triangles to have the same area.
Not always
All triangles have the same formula A=bh/2. Pick any side you like as a base and multiply by half the height, it will always give the area.
Not always because that will depend on their other 2 dimensions
Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.
No, because if they have different heights the area will differ between the two triangles.
Only if the two triangles have the same base and height then they have the same area, because an area of a triangle OS the base times the height divided by two.
False. The equation for area of a triangle is 1/2 base x height. The height and the base would have to be the same for two triangles to have the same area.
Yes.
Not always
A=1/2bh The area of a triangle is 1/2bh. If the base of it is a triangle and all 4 of the triangles aren't the same, then you have to find the area of the base triangle and then the three other triangles (which should all have the same area). If all four of the triangles have the same area, then just find the area of one of the triangles and multiply that by four. A triangular pyramid that has four equal triangles is also called a tetrahedron.
All triangles have the same formula A=bh/2. Pick any side you like as a base and multiply by half the height, it will always give the area.
Not always because that will depend on their other 2 dimensions
No. You can have a million triangles, all with the same base but different areas. Just the base alone is not enough information to tell you what the area has to be.
Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.
Aww, man. Proofs? You're on your own.
Area = Length x width It's the same as the area for a rectangle - base times height. If you think about it, a parallelogram is a rectangle with two triangles on either side - one with its base on top, one with its base on bottom. Through various identities, we know that these two triangles are congruent. So the area is the sum of the small rectangle plus the two triangles, which ends up being base times height.