The legs of a right triangle are in the ratio 3:4 and its area is 1014 cm find the length of its legs
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Area = 1014cm^2
Ratio = 3:4
Let the length of the legs be 3x and 4x
Area = 1/2 X b X h
1014 = 1/2 X 3x X 4x
1014 = 1 X 3x X 2x
1014 = 6x
x = 1014/6
= 169
Length of one leg = 3x = 3 X 169 = 507cm
Length of second leg = 4x = 4 X 169 = 676cm
Ratio = 3:4
Let the length of the legs be 3x and 4x
Area = 1/2 X b X h
1014 = 1/2 X 3x X 4x
1014 = 1 X 3x X 2x
1014 = 6x
x = 1014/6
= 169
Length of one leg = 3x = 3 X 169 = 507cm
Length of second leg = 4x = 4 X 169 = 676cm
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