A right-angled triangle, whose perpendicular sides measure 2.4 cm and 1.8 cm, is inscribed in a circle. What is the diameter of the circle (in cm)?

Question: A right-angled triangle, whose perpendicular sides measure 2.4 cm and 1.8 cm, is inscribed in a circle. What is the diameter of the circle (in cm)?

Solution:

Let,
ABC is a right triangle with perpendicular AB = 2.4 cm and base BC = 1.8 cm

We know,
AC² = AB² + BC²
⇒ AC = √(2.4² + 1.8²)
⇒ AC = √(5.76 + 3.24)
⇒ AC = √9
∴ AC = 3

∴ The diameter of the circle, 2r = 3 cm