Not always because that will depend on their other 2 dimensions
no
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 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. All corresponding sides and angles have to be congruent for the triangles to be congruent.
Yes- but not all isosceles triangles are right triangles. Isosceles means that two sides are the same length, and two angles are the same.
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.
no
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 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. All corresponding sides and angles have to be congruent for the triangles to be congruent.
No, because if they have different heights the area will differ between the two triangles.
The base angles of an isosceles triangle are the two angles with the same measure, each formed by the intersection between the base of the triangle and one of the two legs.
i guess they have the two same base angles and one vertex angle, the same for other triangles i guess
The area of a triangle is half the base times the height, so obviously the areas will be the same if these figures are identical, but I doubt it is possible to have such correspondence between any two of the triangles you mention! Consider mapping a right triangle to an isosceles - I can't keep the altitude constant.
They are congruent.
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.