Math Problem Statement

Solve the mathematical problems related to the Pythagorean theorem and geometry as shown in the uploaded worksheet.

Solution

It looks like you've uploaded a mathematical worksheet covering the Pythagorean theorem and related geometry problems. I can help solve the problems from the image or explain any specific ones you want clarified. Let me know which ones you'd like to focus on, or if you want solutions to the entire worksheet step by step!

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Math Problem Analysis

Mathematical Concepts

Pythagorean Theorem
Triangles
Geometry of Rectangles and Squares
Diagonal Calculations
Area and Perimeter Calculations

Formulas

Pythagorean Theorem: a^2 + b^2 = c^2
Area of Rectangle: length × width
Diagonal of Square: side × √2
Area of Triangle: (base × height) / 2
Perimeter of Geometric Shapes

Theorems

Pythagorean Theorem
Properties of Right-Angled Triangles
Geometric Relations of Diagonals in Squares and Rectangles

Suitable Grade Level

Grade 7