A triangular peak on a backyard shed is trimmed with 3 pieces of 4 ft. molding. The next door neighbor decides to use 12 ft. of molding to add a decorative triangle to his shed. Are the two triangles congruent? Justify your answer.
The sides can be the same length, but that would only make the triangles similar not congruent. The angles need to be the same too.
The sides can be the same length, but that would only make the triangles similar not congruent. The angles need to be the same too.
The COULD be congruent if the neighbor cuts the 12 ft moulding in to three 4 ft pieces to build his triangle...both would be equalateral triangles. If the neighbor uses ANY other lengths (say: 5,5,2) , the triangles will not be congruent.