Let common multiple be x
sides are 5x , 12x and 13x
Now we know that ......
300 = 5x + 12x+ 13x
300 = 30x
x = 10
Sides are 50cm , 120cm and 130 cm
now (130)² = 16900
(120)² = 14400
(50)²=2500
(130)² = (120)²+(50)²
Therefore these are Pythagorean triplets
Hence altitude drawn on side 130 is
1/2 of 130 _______( property of altitude drawn on hypotenuse )
= 65cm
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Answers & Comments
Let common multiple be x
sides are 5x , 12x and 13x
Now we know that ......
300 = 5x + 12x+ 13x
300 = 30x
x = 10
Sides are 50cm , 120cm and 130 cm
now (130)² = 16900
(120)² = 14400
(50)²=2500
(130)² = (120)²+(50)²
Therefore these are Pythagorean triplets
Hence altitude drawn on side 130 is
1/2 of 130 _______( property of altitude drawn on hypotenuse )
= 65cm