Math Problem Statement
Given right triangle A, B, CABC with altitude start overline, B, D, end overlineBD drawn to hypotenuse start overline, A, C, end overlineAC. If A, D, equals, 7AD=7 and B, D, equals, 14, commaBD=14, what is the length of start overline, D, C, end overline, question markDC?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Right Triangles
Proportionality in Similar Triangles
Formulas
AD * DC = BD^2 (geometric mean property of right triangles)
Sum of segment lengths: AC = AD + DC
Theorems
Geometric Mean Theorem
Similarity in Right Triangles
Suitable Grade Level
Grades 8-10
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