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The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm long and vertical height h=12.2\,\text{cm}h=12.2cm. The triangle drawn with dashed lines is a right triangle. What is the distance rr? Round your answer to the nearest tenth.

Respuesta :

Answer:

8.7

Step-by-step explanation:

15 squared is 225 then you subtract the square of 12.2: 148.84, then after you find that out, you find the square root of 76.16 since that's what the answer of 15 squared minus 12.2 squared, and the answer is 8.7

The value of distance 'r' is 8.72cm and this can be determined by using the Pythagorean theorem.

Given :

  • The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron.
  • The Pyraminx shown has edges of 15cm long and a vertical height h = 12.2cm.
  • The triangle drawn with dashed lines is a right triangle.

The Pythagorean theorem can be used to determine the distance r. The Pythagorean theorem is given by the equation:

[tex]\rm B^2 + P^2 = H^2[/tex]    ---- (1)

where, B is the base, P is the perpendicular and H is the hypotenuse.

Now, put the value hypotenuse that is 15cm and perpendicular that is 12.2cm in the equation (1).

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

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

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

r = 8.72cm

For more information, refer to the link given below:

https://brainly.com/question/15190643

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