Question 105

If the measures of the angles of a triangle are in the ratio 1 : 2 : 3 and if the length of the smallest side of the triangle is 10 cm, then the length of the fa side (in cm) is

Solution

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Let the angles be x, 2x, 3x 
x+2x+3x =180 ++> x = 30 degrees 

Hence, it is a 30-60-90 triangle. 
The length of the smallest side i.e. the length of the side opposite the 30 degree angle = 10 cm
Hence, the largest side = Hypotenuse = 2*10 = 20 cm 

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