Question

Help me find VX
Look at photo

Answer 1

Answer: 4

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Step-by-step explanation:

The diagonals of a rhombus bisect each other (i.e. split in half).

This means YW = 6 splits in half to YV = 3 and VW = 3.

The diagonals of a rhombus are also perpendicular, so we have four right triangles. Focus on triangle WVX.

It has these sides:

• VX = unknown leg
• VW = 3 = the other leg
• XW = 5 = hypotenuse

We'll use the pythagorean theorem to find the missing leg.

`a^2+b^2 = c^2\\\\a^2+3^2 = 5^2\\\\a^2+9 = 25\\\\a^2 = 25-9\\\\a^2 = 16\\\\a = √(16)\\\\a = 4\\\\`

This means VX = 4

Triangle WVX is a 3-4-5 right triangle. This also applies to the other right triangles because they are rotated and reflected copies of each other.