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The Pyraminx is a Rubik’s cube-toy in the shape of a tetrahedron. The Pyraminx shown below has edges of 15cm long and a vertical height h=12.2 cm. The Triangle drawn with dashed lines is a right triangle. What is distance r?

The Pyraminx is a Rubiks cubetoy in the shape of a tetrahedron The Pyraminx shown below has edges of 15cm long and a vertical height h122 cm The Triangle drawn class=

Respuesta :

Answer:

The distance r is [tex]8.7\ cm[/tex]

Step-by-step explanation:

we know that

Applying the Pythagoras Theorem

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

where

c is the hypotenuse

a,b are the legs

In this problem we have

[tex]c=15\ cm[/tex]

[tex]a=r[/tex]

[tex]b=h=12.2\ cm[/tex]

substitute and solve for r

[tex]15^{2}=r^{2}+12.2^{2}[/tex]

[tex]225=r^{2}+148.84[/tex]

[tex]r^{2}=225-148.84[/tex]

[tex]r^{2}=76.16[/tex]

[tex]r=8.7\ cm[/tex]

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