Question

Using Heron’s formula, find the semi perimeter of a triangle whose sides are 10 cm, 24 cm, 26 cm.​

Answer 1

Step-by-step explanation:

Given :-

A triangle has sides =10cm,24cm,26cm

To do:-

Find semiperimeter using Heron's formula.

Solution:-

• According to the Heron's formula if three sides of a triangle are a ,b and c then semiperimeter =s

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

${:}\longrightarrow$$s={\frac {10+24+26}{2}}$

${:}\longrightarrow$$s={\frac {34+26}{2}}$

${:}\longrightarrow$$s={\frac {60}{2}}$

${:}\longrightarrow$${\underline{\boxed{\bf {s=30cm}}}}$

Extra information:-

another famous formula of finding area of a triangle using s:-

${:}\longrightarrow$${\boxed{Area ={\sqrt {s (s-a)(s-b)(s-c)}}}}$