Question

What is the radius of the incircle of the right angled triangle whose sides measure $6,8$ and $10$ units?

• A. $1$ unit
• B. $2$ units
• C. $3$ units
• D. $4$ units

Answer 1

Answer: (B)

$2$ units

Radius of the incircle $=$ $\frac{2\times \text{area of triangle}}{\text{sum of sides}}$

Area of triangle $=$ $\frac{1}{2}\times 6\times 8$ $=24$

Sum of the sides $=6+8+10=24$

Radius of the incircle $=$ $\frac{2\times 24}{24}$ $=2$ units.