Math Problem Statement
Solution
To solve this problem, we need to analyze the geometry of the triangle and the equations provided for each segment.
Given:
The diagram shows that and each contain right angles, with point as a shared vertex.
In a right triangle, the Pythagorean theorem applies: From these two equations, we can set up the following system:
Step 1: Expand and Simplify Each Equation
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Expanding the terms in the first equation: Simplifying, we get:
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Expanding the terms in the second equation: Substitute from the first equation: Simplifying further
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Math Problem Analysis
Mathematical Concepts
Geometry
Algebra
Right Triangles
Formulas
Pythagorean Theorem: a^2 + b^2 = c^2
Theorems
Pythagorean Theorem
Suitable Grade Level
Grades 8-10
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