讲一下勾股定理的内弦图和外弦图---The image contains two geometric diagrams, labeled (1) and (2). Both diagrams illustrate configurations typically used to demonstrate the Pythagorean theorem. *** **Diagram (1) Description:** * **Type:** Geometric figure, specifically a square with an inscribed square and four right-angled triangles. * **Overall Shape:** An outer large square, labeled with vertices A, B, C, D in counter-clockwise order, starting from the top-left. * **Angles:** Right angle symbols are present at each corner of the outer square (A, B, C, D), indicating that it is a square. * **Side Segments:** The sides of the outer square are divided into two segments by the vertices of the inner square. * Side AB is composed of a segment of length 'b' (adjacent to A) and a segment of length 'a' (adjacent to B). The total length of AB is (a+b). * Side BC is composed of a segment of length 'b' (adjacent to B) and a segment of length 'a' (adjacent to C). The total length of BC is (a+b). * Side CD is composed of a segment of length 'b' (adjacent to C) and a segment of length 'a' (adjacent to D). The total length of CD is (a+b). * Side DA is composed of a segment of length 'b' (adjacent to D) and a segment of length 'a' (adjacent to A). The total length of DA is (a+b). * **Internal Elements:** * Four congruent right-angled triangles are positioned at the corners of the outer square. Each triangle has legs of length 'a' and 'b'. * An inner square is formed in the center of the outer square. Its vertices are the hypotenuses of the four right-angled triangles. * The side length of this inner square is labeled 'c'. *** **Diagram (2) Description:** * **Type:** Geometric figure, specifically a square containing four right-angled triangles and a central square. * **Overall Shape:** An outer large square, labeled with vertices H, E, F, G in counter-clockwise order, starting from the top-left. * **Side Lengths:** The sides of the outer square are explicitly labeled with length 'c'. * Side HE has length 'c'. * Side EF has length 'c'. * Side FG has length 'c'. * Side GH has length 'c'. * **Internal Elements:** * Four congruent right-angled triangles are arranged within the outer square. * Each triangle has legs of length 'a' and 'b'. * The right-angle vertex of each triangle coincides with a corner of the outer square (H, E, F, G). * For example, at corner H, one leg of length 'a' extends along side HG, and the other leg of length 'b' extends along side HE. * A central square is formed by connecting the hypotenuses of these four triangles. The side length of this central square is not explicitly labeled with a single letter, but its sides are the hypotenuses of triangles with legs 'a' and 'b'. * The placement of 'a' and 'b' labels along the sides of the outer square implies that the total length 'c' of each outer side is composed of 'a' and 'b' segments (e.g., side HG has a segment 'a' starting from G and a segment 'b' starting from H, which suggests c = a+b).