Question

aoBC is a rectangle whose vertices are A(0,3) O(0,0) B(5,0)​ the length of its diagonal is
​

Answer 1

Step-by-step 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,

y2 = 3,

y2 = 0,

d² = (5 – 0)² + (0 – 3)²

d= √((5-0)²+ (0-3)²)

d = √(25 + 9)= √34

Distance between A (0, 3) and B (5, 0) is √34

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