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MATH / △ABC has side lengths 6, 8 and 10, as shown. Each of the side lengths of △ABC is increased by 50%, forming a new triangle, △DEF. What is the area of triangle DEF?

Problem

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problem

△ABC\triangle ABC has side lengths 6, 8 and 10, as shown. Each of the side lengths of △ABC\triangle ABC is increased by 50%50\%, forming a new triangle, △DEF\triangle DEF. What is the area of $\triangle DEF?$
Plain-text mathematical notation (without MathML)
△ABC has side lengths 6, 8 and 10, as shown.  Each of the side lengths of △ABC is increased by 50%, forming a new triangle, △DEF.  What is the area of $\triangle DEF?$
Original LaTeX notation
$\triangle ABC$ has side lengths 6, 8 and 10, as shown.  Each of the side lengths of $\triangle ABC$ is increased by $50\%$, forming a new triangle, $\triangle DEF$.  What is the area of $\triangle DEF?$

level

Level 2

type

Geometry

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Source and history

task_id
fc9f95ee-6c64-581d-ae1f-665dfff80e7a
task_key
geometry--test--fc9f95ee-6c64-581d-ae1f-665dfff80e7a
task_revision_id
1
config / split
geometry / test

Official source

initial import