what is the 9 th root of x divided by the 12 th root or x ????
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we will prove that of all the straight lines that can be drawn to a straight line from a given point outside it, the perpendicular is the shortest.
Given: XY is a straight line and O is a point outside it. OP is perpendicular to XY and OZ is an oblique.
Perpendicular is the Shortest
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To Prove: OP < OZ.
Proof:
Statement
Reason
1. In ∆OPZ, ∠OPZ = 90°.
1. OP ⊥ XY.
2. ∠OZP is an acute angle.
2. In a triangle, if one angle is a right angle, the other two must be acute.
3. ∠OZP < ∠OPZ.
3. From statement 1 and 2.
4. OP < OZ. (proved)
4. In a triangle, the greater angle has the greater side opposite to it.
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