Subjects geometry

Triangle Heights

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Search Solutions

Triangle Heights


1. The problem asks to find the height of the triangle with base BD. Height is defined as the perpendicular distance from the opposite vertex to the base. Therefore, the height is the perpendicular from vertex A to base BD. 2. For the triangle with base AC, the height is the perpendicular from vertex B to base AC. 3. For the triangle with base QR, the height is the perpendicular from vertex P to base QR. For the base PQ, the height is the perpendicular from vertex S to base PQ. 4. For base SQ, the height is the perpendicular from vertex R to base SQ. For base PQ, the height is the perpendicular from vertex T to base PQ. 5. For base GD, the height is the perpendicular from vertex E to base GD. For base GF, the height is the perpendicular from vertex H to base GF. 6. For base DE, the height is the perpendicular from vertex F to base DE. For base GE, the height is the perpendicular from vertex H to base GE. Each height corresponds to a perpendicular segment from the vertex opposite the base to the base line. Since specific lengths are not provided, the height is described geometrically as above.