This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Right Dert, let's go. Step 1: Apply the extended Sine Rule, which relates a side of a triangle to the sine of its opposite angle and the circumradius (R). (a)/( A) = 2R Here, a = QR = 5 cm and A = QPR = 60^. Step 2: Substitute the given values into the formula. (5)/((60^)) = 2R Step 3: Recall the value of (60^). (60^) = sqrt(3)2 Step 4: Substitute the sine value and solve for R. (5)/(sqrt(3))2 = 2R 5 × (2)/(sqrt(3)) = 2R (10)/(sqrt(3)) = 2R R = (10)/(2sqrt(3)) R = (5)/(sqrt(3)) Step 5: Rationalize the denominator. R = (5)/(sqrt(3)) × sqrt(3)sqrt(3) R = 5sqrt(3)3 The radius of the circumcircle is 5sqrt(3)3 cm. R = 5sqrt(3)3 cm Send me the next one 📸