Three baseball players are playing catch. Vondra is directly south of Mei and directly west of
Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. How farapart are Vondra and Mei?

Respuesta :

Vondra and Mei are 6 meters apart.

Step-by-step explanation:

From the given information, It can be known that :

  • Vondra is directly south of Mei ⇒ which forms the height of the triangle.
  • Vondra is directly west of Yoshi ⇒ which forms the base of the triangle.

The distance between Vondra and Yoshi are 8 meters which is the base of the triangle. (Base= 8).

The distance between Yoshi and Mei are 10 meters which is the hypotenuse of the triangle. (hypotenuse= 10).

To find the distance between Vondra and Mei which is the height of the triangle :

From the Pythagorean triplets (3,4,5),

It is determined that the multiples of (3,4,5) = (6,8,10) forms the triangle in this particular case.

Therefore, the height is 6 meters. That is, the distance between Vondra and Mei is 6 meters.