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List the sides of triangle WXY in order from smallest to largest.

List the sides of triangle WXY in order from smallest to largest.-example-1
User Ziconic
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Answer:

Using the relation between angles and sides of any triangle the answer is:

Third option: WX, XY, YW

Explanation:

<X=90° (right angle)

<W=51°

<Y=?

The sum of the interior angles of any triangle is 180°, then:

<W+<X+<Y=180°

Replacing the given values:

51°+90°+<Y=180°

141°+<Y=180°

Solving for <Y: Subtracting 141° both sides of the equation:

141°+<Y-141°=180°-141°

<Y=39°

The order of the angles from smallest to largest is:

<Y=39°, <W=51°, <X=90°

The opposite sides to these angles must be ordered in the same way:

Opposite side to <Y: WX

Opposite side to <W: XY

Opposite side to <X: YW

Then the order of the sides from smallest to largest is:

WX, XY, YW

User TienLuong
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