Question

1. A triangle has the following lengths-

Side 1: 4x+1,
Side 2: 6x - 5, and
Side 3: x + 1.
Its perimeter is 41 cm.
Write an equation for this situation: 4x+1+6X-5+x+1
2 = 4cm
THEN find the lengths of all 3 sides of the triangle:


Need help finding the sides

Answer 1

Side 1: 17cm. Side 2: 19cm. Side 3: 5cm.

Explanation:

Equation:

1. (4x+1)+(6x-5)+(x+1)=41
2. Remove parenthesis, 4x+1+6x-5+x+1=41
3. Combine like terms, 11x-3=41
4. Add, 11x=44
5. Divide, x=4

Now, find the side lengths:

1. 4(4)+1=16+1=17
2. 6(4)-5=24-5=19
3. 1(4)+1=4+1=5

Double check:

1. 15+19+5=41