Question

For the ΔABC, semiperimeter is ________ where AB = 8 cm, BC = 6 cm, AC = 10 cm.
(a) 24
(b) 20
(c) 12
(d) 16

Answer 1

Answer:

Semi-perimeter of ∆ABC=12 cm

Hence option C is correct.

Step-by-step explanation:

S= Semi-perimeter

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

a,b,c are sides of triangle

a=8 cm

b= 6 cm

c= 10 cm

$S = \frac{a + b + c}{2} \\ \\S = \frac{8 + 6 + 10}{2} \\ \\S =\frac{24}{2}\\\\S= 12$

Hope it helps you.

Application of Semi-perimeter:

Area of triangle when all sides are given can be calculated by the Hero's Formula

$\boxed{Area \: of \: triangle = \sqrt{S(S - a)(S - b)(S - c)}}$