the perimeter of isosceles traingle is 30 cm . The length of its congr

1.	the perimeter of isosceles traingle is 30 cm . The length of its congruent sides is 3 cm more than its base. find the lengths of all sides.
Answer» $\blue{\bold{\underline{\underline{Answer:}}}}$ $\green{\tt{\therefore{length\:of\:equal\:sides\:=\:11\:cm}}}$ $\pink{\tt{\therefore{length\:of\:base\:=\:<klux>8</klux>\:cm}}}$ $\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$ Let, The the length of congurent sides of the isosceles triangle be X. The length of base of isosceles triangle be y. According to the first condition, ⇛ x+x+y = 30 ⇛ 2x+y = 30...........(i) According to second condition, ⇛ x = y + 3 ⇛ x - y = 3............(ii) Solving equation (i) and (ii) 2X + $\cancel{y}$ = 30 x - $\cancel{y}$ = 3 $\rule{60}{2}$ ⇛ 3x = 33 ⇛ x = 11 By substituting the VALUE of x = 11 in equation (i) ⇛ 2x + y = 30 ⇛ 2(11) + y = 30 ⇛ 22 + y = 30 ⇛ y = 8