Question

Find the circumradius of a right-angled triangle, whose two adjacent sides containing right angle are 7 cm and 24 cm long?

• A. 2.2 cm
• B. 12.5 cm
• C. 1.3 cm
• D. 1.2 cm

Answer 1

The correct option is B

12.5 cm

Given that

In a right-angled triangle, the length of the sides containing the right angle is 7 cm and 24 cm respectively.

The circumradius of a right-angled triangle is half the length of its hypotenuse.

The length of the hypotenuse = $\sqrt{7^2+{24}^2}=\sqrt{49+576}=\sqrt{625}=25$ cm

Therefore the circumradius of the triangle = $\frac{25}{2}=12.5$ cm