Step-by-step explanation:
When the altitude from the right angle of a triangle is drawn, several relationships are formed:
1. **Right Triangle Relationship:** The altitude divides the original right triangle into two smaller right triangles. This creates a relationship between the sides of the original triangle and the sides of the smaller triangles, according to the Pythagorean theorem.
2. **Orthogonality:** The altitude drawn from the right angle forms a right angle with the base of the triangle. This means that the altitude is perpendicular to the base.
3. **Similarity:** The smaller triangles formed by the altitude are similar to each other and to the original triangle. This means that corresponding angles of these triangles are equal, and their sides are proportional.
4. **Area Relationship:** The area of the original triangle is equal to the sum of the areas of the two smaller triangles formed by the altitude. This is a result of the base times height formula for calculating the area of a triangle.
These relationships are fundamental properties that arise when an altitude is drawn from the right angle of a triangle.