Problem

Problem

If two sides of a triangle are roots of the equation x2−7x+8=0x^2 - 7x + 8 = 0 and the angle between these sides is 60∘60^\circ , then the product of in-radius and circum-radius of the triangle is a. 87\frac{8}{7} b. 53\frac{5}{3} c. 523\frac{5\sqrt{2}}{3} d. 8

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