But most really big medieval churches in Europe are cathedrals. Most famous medieval cathedrals are in Europe (where the Christians were), and they were built between about 1000 and 1600 AD, during the Middle Ages. There are cathedrals all over Europe, in Spain, in England, in France, in Germany, and in Italy.
Problem Solving. Medians and Altitudes of Triangles. 1. The diagram shows the coordinates of the. vertices of a triangular patio umbrella. The. umbrella will rest on a pole that will support it. Where should the pole be attached so that the.
In the diagram shown above, we see triangle ABC and the dotted line through A that is parallel to BC. Since angle A, from the triangle, and angles 1 and 2 form a straight (dotted) line, the sum of their measures is 180Âº. We also know that since the dotted line is parallel to BC that by alternate interior angles. This gives us: Substituting for angles 1 and 2 we have This result is true for all triangles: Summarizing: Theorem: The sum of the three angles in a triangle is always 180Âº. Let's Practice: If two of the three angles in a triangle have measure 34Âº and 72Âº, what is the measure of the third angle? We have 34Âº + 72Âº = 106Âº. Therefore the third angle has a measure of 180Âº - 106Âº = 74Âº . In a triangle ABC, we have .