Question

The length of the base of an isosceles triangle is x. The length of a leg is 3x-4. The perimeter of the triangle is 34 . Find x

Answer 1

X=12

Explanation:

2(3x-4) + x = 76

6x-8+x=76

7x-8=76

7x=84

x=12

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3(12) - 4 =36-4 = 32

32 times 2 = 64 +12 =76

Answer 2

x = 6

Explanation:

The base of this triangle is x. The other two sides are equal and have length 3x - 4. The perimeter of the triangle is thus x + 2(3x - 4) = 34, which can be solved for x.

Multiplying as indicated, we get x + 6x - 8 = 34, or 7x = 42.

Dividing both sides by 7, we get x = 6.