A mosaic consists of triangular tiles. The smallest tiles have side lengths 6cm, 10cm, an 12cm. Are these tiles in the shape of right triangle? Explain

Respuesta :

Answer:

Is not a right triangle

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagorean Theorem

[tex]c^2=a^2+b^2[/tex]

where

c is the greater side (the hypotenuse)

a and b are the legs

Verify

we have

[tex]a=6\ cm\\b=10\ cm\\c=12\ cm[/tex]

substitute

[tex]12^2=6^2+10^2[/tex]

[tex]144=36+100[/tex]

[tex]144\neq 136[/tex]

so

The length sides of triangle not satisfy the Pythagorean Theorem

therefore

Is not a right triangle

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