document.write( "Question 1209057: ABC is an equilateral triangle. DE and DF are perpendiculars drawn from D to the sides shown. DE=4 cm and DF = 26 cm. Find the length, in cm, of the altitude AG.
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document.write( "ABC is an equilateral triangle. DE and DF are perpendiculars drawn from D to the sides shown. DE=4 cm and DF = 26 cm. \r\n" );
document.write( "Find the length, in cm, of the altitude AG.\r\n" );
document.write( "https://ibb.co/4jLR8TF\r\n" );
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document.write( "As ΔABC is equilateral, ∡B = ∡C = 60^o\r\n" );
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document.write( "From right ΔBED, hypotenuse BD = \r\n" );
document.write( "                              \r\n" );
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document.write( "From right ΔCFD, hypotenuse DC = \r\n" );
document.write( "                              \r\n" );
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document.write( "So, one side of equilateral triangle ABC, BC = BD + DC = \r\n" );
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document.write( "AC is also \r\n" );
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document.write( "As an altitude from ANY vertex of ANY equilateral triangle, BISECTS that vertex' opposite side, altitude AG\r\n" );
document.write( "BISECTS BC, and therefore, BG = GC =  = \r\n" );
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document.write( "Since AC = , and GC = , we use the PYTHAGOREAN THEOREM formula to get: \r\n" );
document.write( "                                                                                       30 cm = AG

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