A 4.9 m high flagpole casts a shadow of 4.5 m. At the same time, the shadow of a nearby building falls at the same point (S). The shadow cast by the building measures 13.5 m. Find h, the height of the building, using a proportion statement.

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.