Two triangles with equal base and height have the same area and shape______ (judge right or wrong)

Two triangles with equal base and height have the same area and shape______ (judge right or wrong)


Because the area formula of triangle is: area of triangle = bottom × height △ 2, although the area of triangle with equal bottom and height must be equal, the shape of triangle is not necessarily the same



If two triangles of different shapes are of equal base and height, their areas must be equal______ (judge right or wrong)


From the area of triangle = base × height △ 2, we can know that two triangles with different shapes have equal base and height, and their areas must be equal



Two triangles with equal base and height must have the same area but not the same shape


The proposition is correct. Because the base and height are fixed, the vertex can be any point on the parallel line which is high from the base. Of course, the shape is different. According to the triangle area formula, the area must be equal