Find the area of the triangle with side lengths 9 cm, 10 cm and 17 cm using Heron's formula.

Step-by-step solution

1. Compute the semiperimeter: $s=\frac{9+10+17}{2}=18$.
2. Compute $s-a$, $s-b$ and $s-c$: $s-9=9$, $s-10=8$, $s-17=1$.
3. Multiply these four numbers: $18\times 9\times 8\times 1=1296$.
4. Take the square root: $\sqrt{1296}=36$.
5. Therefore the area is $36{\text{cm}}^2$.

Concept tested: Area of triangle using Heron's formula

Published 13 October 2026 · How this solution was prepared and checked