Question

Find the value of c if in a triangle S=13,a=8,and b=7.​

Answer 1

Answer:

value of c= 11

Explanation:

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Answer 2

Question:-

Find the value of c if in a triangle S=13,a=8,and b=7.

Given:-

• S = 13.
• a = 8.
• b = 7.

${\sf{\underbrace{TO\: FIND:}}}$

• c = ?

${\sf{\underbrace{SOLUTION:}}}$

$\sf\fbox{We know Formula of Semiperimeter of Triangle:}$

$\star \: \boxed{\sf\green{S = \frac{a + b + c}{2}}}$

$\begin{gathered}\sf\underline{\bigstar\; According\; to\; question\; now:}\\\end{gathered}$

$:\implies\sf{13 = \frac{8 + 7 + c}{2} }$

$\begin{gathered} \\ :\implies\sf{13 \times 2 = 15 + c }\end{gathered}$

$\begin{gathered} \\ :\implies\sf{26 = 15 + c}\end{gathered}$

$\begin{gathered} \\ :\implies\sf{c = 26 - 15}\end{gathered}$

$\begin{gathered} \\ :\implies{\boxed{\sf{\red{c = 11}}}} \: \bigstar\end{gathered}$

Thus,

$\sf\fbox{Value of c is 11}$