Solve the problem.
-The perimeter of a triangle is $45 \mathrm{~cm}$. The triangle is isosceles now, but if its base were lengthened by $3 \mathrm{~cm}$ and each leg were shortened by $3 \mathrm{~cm}$, it would be equilateral. Find the base of the original triangle.
A) $14 \mathrm{~cm}$
B) $11 \mathrm{~cm}$
C) $10 \mathrm{~cm}$
D) $17 \mathrm{~cm}$

Question

Quizplus · Accepted Answer

The original triangle has two equal legs and a base. If the base is $b$ and each leg is $l$, then $2l + b = 45$. When the base is increased by 3 cm and each leg is decreased by 3 cm, the triangle becomes equilateral, so $b + 3 = l - 3$. Solving these equations gives $b = 11 \mathrm{~cm}$.

Solve the Problem 45 cm45 \mathrm{~cm}45 cm the Triangle Is Isosceles Now, but If Its Base

Solve the Problem $45 \mathrm{~cm}$ the Triangle Is Isosceles Now, but If Its Base