Question

The perimeter of an isosceles triangle is 14. If the

length of the base of the triangle is one less than
the length of each leg, find the length of a leg.

Answer 1

The length of each leg = 5 units

The length of the base = 4 units

Explanation:

Isosceles Triangle is a triangle with any two sides of it in equal measure.

Perimeter of a triangle = SUM OF ALL SIDES

Now, Perimeter of the triangle = 14

Let length of each leg = a

So, the length of the other leg is also a.

And, the base of the triangle is a -1

Now, as perimeter is 14.

⇒a + a + (a -1) = 14

or, 3 a = 14 + 1

⇒ 3 a = 15, or a = 15/3 = 5

Hence, the length of each leg = 5

And the length of the base = (a -1) = (5-1) = 4 units