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Ratio of inradius to circumradius in tri...

Ratio of inradius to circumradius in triangle

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If two sides of a triangle are roots of the equation x^(2) -7x + 8 = 0 and the angle between these sides is 60^(@) then the product of inradius and circumradius of the triangle is

If two sides of a triangle are roots of the equation x^(2)-7x+8=0 and the angle between these sides is 60^(@) then the product of inradius and circumradius of the triangle is (8)/(7) (b) (5)/(3)(c)(5sqrt(2))/(3) (d) 8

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Find the ratio of circumradius to inradius . If the ratio of sides is 5:7:8 .