Question

Circumradius of a right-angled triangle, whose sides containing ${90}^{\circ }$ angle are 8 cm and 6 cm long is 4 cm.

• A. True
• B. False

Answer 1

The correct option is B

False

We know that
Circumradius of a right-angled triangle $=\frac{1}{2}\times \text{length of the hypotenuse}$

$BC=\sqrt{A{C}^2+A{B}^2}=\sqrt{(6cm{)}^2+(8cm{)}^2}=\sqrt{100c{m}^2}=10cm$
Circumradius $=\frac{1}{2}\times 10cm=5cm$

Hence, the given statement is false.