Question

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

Answer 1

GIVEN:

• S = 13.

• a = 8.

• b = 7.

TO FIND:

• c = ?

SOLUTION:

☯ We know Formula of Semiperimeter of Triangle:

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

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

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

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

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

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

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

Thus,

• Value of c is 11.

Answer 2

Answer:

GIVEN:

S = 13.

a = 8.

b = 7.

TO FIND:

c = ?

SOLUTION:

☯ We know Formula of Semiperimeter of Triangle:

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

S=

2

a+b+c

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

★Accordingtoquestionnow:

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

2

8+7+c

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

:⟹13×2=15+c

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

:⟹26=15+c

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

:⟹c=26−15

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

:⟹

c=11

★

Thus,

Value of c is 11.

Step-by-step explanation:

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