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MATH / Suppose that ABCD is a trapezoid in which (AD)¯||(BC)¯. Given (AC)¯⊥(CD)¯, (AC)¯ bisects angle ∠BAD, and [ABCD]=42, then compute [△ACD].

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Suppose that ABCDABCD is a trapezoid in which AD¯||BC¯\overline{AD}|| \overline{BC}. Given AC¯⊥CD¯\overline{AC}\perp\overline{CD}, AC¯\overline{AC} bisects angle ∠BAD\angle BAD, and [ABCD]=42[ABCD]=42, then compute [△ACD][\triangle ACD].
Plain-text mathematical notation (without MathML)
Suppose that ABCD is a trapezoid in which (AD)¯||(BC)¯.  Given (AC)¯⊥(CD)¯, (AC)¯ bisects angle ∠BAD, and [ABCD]=42, then compute [△ACD].
Original LaTeX notation
Suppose that $ABCD$ is a trapezoid in which $\overline{AD}|| \overline{BC}$.  Given $\overline{AC}\perp\overline{CD}$, $\overline{AC}$ bisects angle $\angle BAD$, and $[ABCD]=42$, then compute $[\triangle ACD]$.

level

Level 5

type

Geometry

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Source and history

task_id
c6ade9f7-b4aa-547f-b1bc-aa7052d9efbe
task_key
geometry--test--c6ade9f7-b4aa-547f-b1bc-aa7052d9efbe
task_revision_id
1
config / split
geometry / test

Official source

initial import