# Difference between revisions of "2019 AMC 10B Problems/Problem 16"

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− | + | In <math>\triangle ABC</math> with a right angle at <math>C,</math> point <math>D</math> lies in the interior of <math>\overline{AB}</math> and point <math>E</math> lies in the interior of <math>\overline{BC}</math> so that <math>AC=CD,</math> <math>DE=EB,</math> and the ratio <math>AC:DE=4:3.</math> What is the ratio <math>AD:DB?</math> | |

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+ | <math>\textbf{(A) }2:3\qquad\textbf{(B) }2:\sqrt{5}\qquad\textbf{(C) }1:1\qquad\textbf{(D) }3:\sqrt{5}\qquad\textbf{(E) }3:2</math> |

## Revision as of 12:51, 14 February 2019

In with a right angle at point lies in the interior of and point lies in the interior of so that and the ratio What is the ratio