Question

find the area of saclane triangle whose sides are 10cm 12cm and 14cm​

Answer 1

Answer:

hey here is your answr

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so here we go

Step-by-step explanation:

Formula to be used=Heron's formula

now we know that semiperimeter of triangle is denoted by letter s

thus so s=a+b+c/2

where a,b and c are three sides of triangle.

thus s=10+12+14/2

=36/2

=18

now use herons formula ie

area of triangle=

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

=

$\sqrt{18 \times (18 - 10) \times (18 - 12) \times (18 - 14)}$

=

$\sqrt{18 \times 8 \times 6 \times 4}$

=

$\sqrt{144 \times 4 \times 6}$

=

$12 \times 2 \times \sqrt{6}$

=

$24 \sqrt{6}$

thus area of require scalene triangle is 24 root 6 sq.cm