Respuesta :

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent, it is a right angle

VWX is a right triangle, so we can use the Pythagorean theorem

a^2+b^2 = c^2

6^2 + 8^2 = VX ^2

36+64 = VX ^2

100 = VX ^2

Take the square root of each side

sqrt(100) = sqrt(  VX ^2)

10 = VX

Answer:

10 cm

Step-by-step explanation:

Since WX is tangent to the circle V, by definition, WX ⊥ WV.

So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:

a² + b² = c²

Here, we have a = WV = 6 and b = WX = 8, so:

a² + b² = c²

6² + 8² = 36 + 64 = 100

c² = 100

c = √100 = 10

Therefore, VX = 10 cm.

~ an aesthetics lover

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