Question

the perimeter of an isosceles triangle is 25 CM is 15cm longer than one of the equal sides find the sides of the triangle​

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

Required answer :- 5cm

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\pink{\bold{\underline{\underline{Given:}}}}$

$\tt: \implies We \:have\:an\:isosceles \:triangle\:whose\:longest\:side\:is\:15cm$

$\blue{\bold{\underline{\underline{To\:Find:}}}}$

$\tt: \implies sides\:of\:\triangle$

$\green{\bold{\underline{\underline{Solution:}}}}$

$\tt: \implies Perimeter\:of\:\triangle\: = sum\:of\:all\:sides\:of\:\triangle \\ \\ \tt: \implies we\:know\:that\:two\:of\:sides\:of\:isosceles\:triangle\:other\:than\:longer\:side\:are\:equal$

$\tt: \implies Thus, \:x+x+15=25 \\ \\ \tt: \implies 2x+15=25 \\ \tt: \implies 2x=25-15 \\ \\ \tt: \implies 2x=10 \\ \\ \tt: \implies x = 10 \div 2 \\ \\ \tt: \implies x = 5cm$

Hope my answer will help you :)