Question

how to find area of triangle whose 3 sides are 4,5,6centimeters

Answer 1

hiii!!!

here's Ur answer...

we find area of a triangle by Heron's formula when three sides are given with two equal sides or different sides.

here, the length of all sides is different. so, we will find the area of the triangle by Heron's formula.

$herons \: formula \: = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ here \: s \: means \: semi - perimetre \: of \: the \: \\ triangle \: and \: a \: \: b \: and \: c \: are \: the \: sides \: of \: \\ the \:triangle. \\ \\ given \: = > \\ \\ a = 4 \\ \\ b = 5 \\ \\ c = 6 \\ \\ s = \frac{4 + 5 + 6}{2} = \frac{15}{2} = 7.5 \\ \\ area \: of \: the \: \\ triangle \: = \sqrt{s (s - a)(s - b)(s - c)} \\ \\ = \sqrt{7.5(7.5 - 4)(7.5 - 5)(7.5 - 6)} \\ \\ = \sqrt{7.5 \times 3.5 \times 2.5 \times 1.5 } \\ \\ = { \sqrt{98.4375} unit}^{2}$

so, by this formula u can find the area of the triangle.

hope this helps..!!