SOLUTION: the length of the 2 shorter sides of a right angleare 20 and 15.another right angle of equal area has its shortside 10cm long.what is the length of the side perpendiculars to this?

Question 247159: the length of the 2 shorter sides of a right angleare 20 and 15.another right angle of equal area has its shortside 10cm long.what is the length of the side perpendiculars to this?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The length of the 2 shorter sides of a right angle are 20 and 15.another right angle of equal area has its shortside 10cm long.what is the length of the side perpendiculars to this?
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The triangles are similar.
Area of the 1st triangle = (1/2)(20)(15) = 150 sq units
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Let the length of the unknown side of the 2nd right triangle be "x".
Area = (1/2)10x
150 = 5x
x = 30 units (lenth of the unknown side)
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Cheers,
Stan H.
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