Question

A triangular sign board is isosceles Given that the unequal side is 7 cm and the perimeter of the triangle is 25 cm What is the measure of the third side

Answer 1

The measure of the third side is 9 centimeters.

Explanation:

An isosceles triangle is a figure which two of its sides have the same length. The perimeter is the sum of all lengths from sides. Hence, the expression for perimeter of an isosceles triangle is given by the following expression:

`p = l + 2\cdot w`

Where:

`p` - Perimeter, measured in centimeters.

`l` - Unequal side, measured in centimeters.

`w` - Equal side, measured in centimeters.

The measure of the third side is calculated after clearing the equal side in the perimeter equation:

`w = (p-l)/(2)`

Given that
`p = 25\,cm` and
`l = 7\,cm`, the length of the third side is:

`w = (25\,cm-7\,cm)/(2)`

`w = 9\,cm`

The measure of the third side is 9 centimeters.