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MATH / Let △ABC be a triangle such that AB=13, BC=14, and CA=15. Meanwhile, D is a point on BC such that AD bisects ∠A. Find the area of △ADC.

Problem

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problem

Let △ABC\triangle ABC be a triangle such that AB=13,AB = 13, BC=14,BC = 14, and CA=15.CA = 15. Meanwhile, DD is a point on BCBC such that ADAD bisects ∠A.\angle A. Find the area of △ADC.\triangle ADC.
Plain-text mathematical notation (without MathML)
Let △ABC be a triangle such that AB=13, BC=14, and CA=15. Meanwhile, D is a point on BC such that AD bisects ∠A. Find the area of △ADC.
Original LaTeX notation
Let $\triangle ABC$ be a triangle such that $AB = 13,$ $BC = 14,$ and $CA = 15.$ Meanwhile, $D$ is a point on $BC$ such that $AD$ bisects $\angle A.$ Find the area of $\triangle ADC.$

level

Level 5

type

Geometry

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Source and history

task_id
633b0428-8e86-53c3-8acb-8788fa5bc567
task_key
geometry--test--633b0428-8e86-53c3-8acb-8788fa5bc567
task_revision_id
1
config / split
geometry / test

Official source

initial import