Question

Form algebraic equations for the following statements and solve.

The perimeter of the triangle with two equal sides of length $13$ cm each is $42$ cm. Find the length of the other side.

Answer 1

STEP 1: To form the algebraic equation.

Let the length of the remaining side be $x$.

as per the given condition, length of the two equal sides is $13$ cm and perimeter is $42$ cm.

Perimeter is equal to the sum of all sides of the triangle.

$\Rightarrow perimeter=x+13+13$.

,$x+13+13=42$ .

Thus, $x+13+13=42$ is the required algebraic equation.

STEP 2: To find the solution of $x+13+13=42$.

$x+13+13=42$.

$x+26=42$

$x=42-26$

$x=16$.

Therefore, the three sides of the triangle are $16$, $13$ and $13$.