Question

Question content area top Part 1 The length of the base of an isosceles triangle is x. The length of a leg is 3x-2 The perimeter of the triangle is 52 Find x

Answer 1

x = 8

Explanation:

An isosceles triangle is triangle with two equal sides.

Formula to calculate perimeter of isosceles triangle Perimeter = 2a + b

Here a is the length of the two equal legs.

b is length of the base.

As per the question, base is x and length of two equal legs is 3x - 2

Putting the values,

• 2(3x - 2) + x = 52

Opening the brackets,

• 6x - 4 + x = 52

Combining like terms,

• 6x + x = 52 + 4
• 7x = 56

Dividing both sides by 7,

• x = 8