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MATH / In isosceles right triangle ABC, point D is on hypotenuse (BC)¯ such that (AD)¯ is an altitude of △ABC and DC=5. What is the area of triangle ABC?

Problem

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problem

In isosceles right triangle ABCABC, point DD is on hypotenuse BC¯\overline{BC} such that AD¯\overline{AD} is an altitude of △ABC\triangle ABC and DC=5DC = 5. What is the area of triangle ABCABC?
Plain-text mathematical notation (without MathML)
In isosceles right triangle ABC, point D is on hypotenuse (BC)¯ such that (AD)¯ is an altitude of △ABC and DC=5. What is the area of triangle ABC?
Original LaTeX notation
In isosceles right triangle $ABC$, point $D$ is on hypotenuse $\overline{BC}$ such that $\overline{AD}$ is an altitude of $\triangle ABC$ and $DC = 5$. What is the area of triangle $ABC$?

level

Level 5

type

Prealgebra

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Source and history

task_id
2aecea9c-e390-563a-8b95-67cba9546b42
task_key
prealgebra--test--2aecea9c-e390-563a-8b95-67cba9546b42
task_revision_id
1
config / split
prealgebra / test

Official source

initial import