j122223
Answered

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Which of the following lists of side lengths represents a right triangle?

A. 7, 24, 25

B. 3, 6, 9

C. 5, 12, 14

D. 15, 16, 17

Sagot :

DᴀʀᴋPᴀʀᴀᴅᴏx

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The side lengths of Triangle representing a right angled Triangle is :

  • [tex]7,24,25[/tex]

because , Pythagoras theorem is true for given Side lengths,

that is :

  • [tex] {7}^{2} + 24 {}^{2} = 25 {}^{2} [/tex]

Answer:

7,24,25

Step-by-step explanation:

Use Pythagorean theorem

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 25^2=24^2+7^2[/tex]

[tex]\\ \sf\longmapsto 625=576+49[/tex]

[tex]\\ \sf\longmapsto 625=625[/tex]

[tex]\\ \sf\longmapsto verified[/tex]

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