Geometry

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Moderate

Pythagorean Theorem: Selecting Equivalent Statements

GEOM-7LJHBK

Select ALL statements that are true for the given triangle.

McGinness. Created for Albert.io. Copyright 2016. All rights reserved.

A

${e}^{2}+{f}^{2}={d}^{2}$

B

$e=\sqrt {{f}^{2}-{d}^{2}}$

C

$d=\sqrt {{f}^{2}+{e}^{2}}$

D

$e=\sqrt {{d}^{2}-{f}^{2}}$

E

${f}^{2}-{d}^{2}=-{e}^{2}$

F

${d}^{2}=\sqrt {{f}^{2}+{e}^{2}}$

G

$\sqrt {{e}^{2}-{d}^{2}}={f}$

H

${\left (\sqrt {{f}^{2}}\right)}^{2}+{\left (\sqrt {{e}^{2}}\right)}^{2}={\left (\sqrt {{d}^{2}}\right)}^{2}$