The diameter of the circumcircle of a rectangle is 13 cm and rectangle's width is 5 cm. Find the length of the rectangle.
Answer:
12 cm
- The following figure shows the rectangle ABCD with its circumcircle,
AB,BC, and AC are the length, breadth, and diameter of the circumcircle of the rectangle ABCD.
According to the question, AC=13 cm,
BC=AD=5 cm. - Now, in the right-angled triangle ABC,AB2=AC2−BC2⟹AB=√AC2−BC2=√(13)2−(5)2=12 cm
- Hence, the length of the rectangle is 12 cm.