prettylamedeee
prettylamedeee prettylamedeee
  • 14-06-2022
  • Mathematics
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Use Pythagorean theorem to decide which of these measures would be correct for the lengths of the sides of a right triangle.

Use Pythagorean theorem to decide which of these measures would be correct for the lengths of the sides of a right triangle class=

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Medunno13
Medunno13 Medunno13
  • 18-06-2022

Answer: D) 9, 12, 15

Step-by-step explanation:

The side lengths need to satisfy the Pythagorean theorem, [tex]a^{2}+b^{2}=c^{2}[/tex]

A) [tex]2^{2}+3^{2}=4^{2} \longrightarrow 13=16[/tex], which is false.

B) [tex]7^{2}+11^{2}=14^{2} \longrightarrow 170=196[/tex], which is false.

C) [tex]8^{2}+10^{2}=12^{2} \longrightarrow 164=144[/tex], which is false.

D) [tex]9^{2}+12^{2}=15^{2} \longrightarrow 225=225[/tex], which is true.

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