Question

Two sides of a triangle measure 5 1/2cm. The third side measures 3 3/8cm. What is the perimeter of the triangle? What type of triangle is it ?

Answer 1

`\begin{gathered} \text{perimeter = 14 }(3)/(8)\text{ cm} \\ \text{Isosceles triangle is the type} \end{gathered}`

Here, we want to calculate the perimeter of the triangle and state the type it is

To calculate the perimeter, we have to add up the dimensions of the sides

We have this as;

`\begin{gathered} 5(1)/(2)\text{ + 5}(1)/(2)\text{ + 3}(3)/(8) \\ =\text{ }(11)/(2)+\text{ }\frac{11}{2\text{ }}\text{ + }(27)/(8) \\ \\ =\text{ }\frac{4(11)\text{ + 4(11) + 27}}{8}\text{ =}(115)/(8)\text{ = 14 }(3)/(8)\text{ cm} \end{gathered}`

We have two of the sides equal

Mathematically, a triangle that has two of its sides equal in dimension is an isosceles triangle