The perimeter of a triangle is 70 cm. The triangle is isosceles now, but if its base were lengthened by 7 cm and each leg were shortened by 4 cm, it would be equilateral. Find the length of the base of the original triangle.
A) 16 cm
B) 27 cm
C) 23 cm
D) 15 cm

Question

Quizplus · Accepted Answer

The original triangle has two equal sides (legs) and a base. Let the base be x cm and each leg be y cm. The perimeter equation is x + 2y = 70. If the base is increased by 7 cm and each leg is decreased by 4 cm, the triangle becomes equilateral, so x + 7 = y - 4. Solving these equations gives x = 16 cm.

The Perimeter of a Triangle Is 70 Cm