Question

module 1 quiz (1 - 5)
100 points possible answered: 7/17
question 8
an isosceles triangle has two equal sides. the perimeter of an isosceles triangle is 86. the unequal side is 6 less than twice the length of the other two. find the length of the sides.
length of the two equal sides=
length of the unequal side=

Explanation:

Step1: Let the length of each equal side be $x$.

The length of the unequal side is $2x - 6$.

Step2: Set up the perimeter - equation.

The perimeter of a triangle is the sum of the lengths of its sides. So, $x + x+(2x - 6)=86$.

Step3: Simplify the left - hand side of the equation.

Combining like terms, we get $4x-6 = 86$.

Step4: Solve for $x$.

Add 6 to both sides: $4x=86 + 6=92$. Then divide both sides by 4: $x=\frac{92}{4}=23$.

Step5: Find the length of the unequal side.

Substitute $x = 23$ into the expression for the unequal side: $2x-6=2\times23 - 6=46 - 6 = 40$.

Answer:

Length of the two equal sides: 23
Length of the unequal side: 40