Question

find the area of the triangle with side 5, 6 and root 13 units

Answer 1

happy herons formula

Answer 2

Answer:

The area of the triangle is 8.98 square units.

Step-by-step explanation:

The length of sides of the triangle are  5, 6 and root 13 units.

Heron's formula

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where, a, b, c are side length and

$s=\frac{a+b+c}{2}$

$s=\frac{5+6+\sqrt{13}}{2}$

$s=\frac{11+\sqrt{13}}{2}=7.3$

The area of the triangle is

$A=\sqrt{7.3(7.3-5)(7.3-6)(7.3-\sqrt{13})}$

$A=8.9867$

$A\approx 8.98$

The area of triangle is 8.98 square units.