Question

if the perimeter of a triangle is 15q+3 and its two sides are 5q+1 and 6q-1, then find its third side.​

Answer 1

$\sf{\underline{\boxed{ANSWER:}}}$

$\sf{\tt{a}_{3}=4q+3}$

$\sf{\underline{\boxed{To \:Find}}}$

$\sf{THE\:THIRD\:SIDE}$

$\sf{\underline{\boxed{GIVEN:}}}$

$\tt{a}_{1}=5q+1\\\tt{a}_{2}=6q-1\\PERIMETER=15q+3$

$\sf{\underline{\boxed{Formula}}}$

$\sf{PERIMETER=\tt{a}_{1}+\tt{a}_{2}+\tt{a}_{3}}$

$\sf{\underline{\boxed{Explanation:}}}$

$\sf{\tt{a}_{3}=PERIMETER-\tt{a}_{1}-\tt{a}_{2}}$

$\sf{\tt{a}_{3}=15q+3-5q-1-6q+1}$

$\sf{\tt{a}_{3}=4q+3}$