AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is ______.

Question

KollegeApply · Accepted Answer

AOBC is a rectangle whose three vertices are A(0, 3), O(0, 0) and B(5, 0). The length of its diagonal is underlinebb(sqrt(34)). Explanation: The three vertices are: A = (0, 3), O = (0, 0), B = (5, 0) We know that, the diagonals of a rectangle are of equal length, Length of the diagonal AB = Distance between the points A and B Distance formula: d2 = (x2 – x1)2 + (y2 – y1)2 According to the question, We have, x1 = 0, x2 = 5 y1 = 3, y2 = 0 d2 = (5 – 0)2 + (0 – 3)2 d = sqrt((5 - 0)^2 + (0 - 3)^2 d = sqrt(25 + 9) = sqrt(34) Distance between A(0, 3) and B(5, 0) is sqrt(34) Therefore, the length of its diagonal is sqrt(34) [Solution diagram: 255947_solution_1.png]

AChoose Your Answer