Question

the length of the side of a triangle are 5 cm 12 cm and 13 cm find area of triangle​

Answer 1

Answer:

area = 30 cm²

Step-by-step explanation:

• let a = 5 cm
• b = 12 cm
• c = 13 cm

using herons formula

area of a triangle =

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

where

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

$s = \frac{5 + 12 + 13}{2} \\ s = \frac{30}{2} \\ s =15$

area =

$= \sqrt{15(15 - 5)(15 - 12)(15 - 3)} \\ = \sqrt{15 \times 10 \times 3 \times 2} \\ = \sqrt{15 \times 60} \\ = \sqrt{900} \\ = 30 \: {cm}^{2}$