Question

What is the area of triangle ABC ? round to the nearest square unit ?

Answer 1

Answer: 33 square units

Step-by-step explanation:

Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.

Heron's formula:-

$\text{Area of triangle}=\sqrt{s(s-a)(s-b)(s-c)}$, where s is the semiperter and a,b and c are the side-lengths of the triangle.

Let a=16 , b=10 and c=8

Then,

$s=\dfrac{a+b+c}{2}=\dfrac{16+10+8}{2}=17$

Using Heron's formula:-

$\text{Area of triangle}=\sqrt{17(17-16)(17-10)(17-8)}\\\\\Rightarrow\ \text{Area of triangle}=\sqrt{1071}=32.7261363439\approx33\text{ square units}$