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Omni-MATH / In triangle ABC,∠A=2∠C. Suppose that AC=6,BC=8, and AB=√(a)−b, where a and b are positive integers. Compute 100a+b.

Problem

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problem

In triangle ABC,∠A=2∠CABC, \angle A=2 \angle C. Suppose that AC=6,BC=8AC=6, BC=8, and AB=a−bAB=\sqrt{a}-b, where aa and bb are positive integers. Compute 100a+b100 a+b.
Plain-text mathematical notation (without MathML)
In triangle ABC,∠A=2∠C. Suppose that AC=6,BC=8, and AB=√(a)−b, where a and b are positive integers. Compute 100a+b.
Original LaTeX notation
In triangle $ABC, \angle A=2 \angle C$. Suppose that $AC=6, BC=8$, and $AB=\sqrt{a}-b$, where $a$ and $b$ are positive integers. Compute $100 a+b$.

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Source and history

task_id
1434dda6-9864-5db2-b367-d477a68bb839
task_key
test--1434dda6-9864-5db2-b367-d477a68bb839
task_revision_id
1
config / split
/ test

Official source

initial import