Math Problem Statement
Solve for the missing side lengths in special right triangles (45°-45°-90° and 30°-60°-90° triangles).
Solution
This worksheet involves solving for missing sides of special right triangles (45°-45°-90° and 30°-60°-90° triangles). I'll go through each problem step by step and match the correct values from the answer box.
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Math Problem Analysis
Mathematical Concepts
Geometry
Special Right Triangles
Formulas
In a 45°-45°-90° triangle: x, x, x√2 (where x is the leg length and x√2 is the hypotenuse)
In a 30°-60°-90° triangle: x, x√3, 2x (where x is the shorter leg, x√3 is the longer leg, and 2x is the hypotenuse)
Theorems
Pythagorean Theorem
Special Right Triangle Ratios
Suitable Grade Level
Grades 8-10