Question

The Square table has side lengths of 4 feet. What is the length of the diagonal? Draw a picture of the problem and solve. Round to the nearest tenth.

Answer 1

A square has 4 sides and all the sides are equal. The diagonal connects two opposite vertices.The picture of the problem is shown below

The two traingles formed, ABC and ADC are right angle triangles. To determine the diagonal, d, let us apply the pythagorean theorem on triangle ADC,

`\begin{gathered} \text{hypotenuse}^2=oppositside^2+adjacentside^2 \\ \text{opposite side = }4 \\ \text{adajacent s}ide\text{ = 4} \\ \text{hypotenuse = d} \\ \text{Thus, } \\ d^2\text{ = 16 + 16 = 32} \\ d\text{ = }\sqrt[]{32} \\ d\text{ = 5.657} \end{gathered}`

To the nearest tenth, the length of the diagonal is 5.7 feet