The base of an isosceles triangle is 7 cm longer than the legs. Find the legs if the perimeter of the triangle is 43 cm

Question

asked Oct 9, 2018 132k views

2 Answers

Bekce · Answer 1 · 2018-10-13T06:13:50+0000

Answer: 12 cm

Explanation:

Let x be the leg of the given isosceles triangle.

Then, the base of isosceles triangle = x+7

Consider the perimeter of the isosceles triangle, we get

$x+x+x+7=43\\\\\Rightarrow\ 3x+7=43\\\\\Rightarrpw\ 3x=43-7\\\\\Rightarrow\ 3x=36\\\\\Rightarrow\ x=12$

Hence, the legs of the given isosceles triangle = 12 cm.