Question

Please help this question finding a side on a triangle

Answer 1

The side of the hypotenuse is 12.233 centimeters.

Explanation:

The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:

`\cos 56^(\circ) = (7.4\,cm)/(x)` (1)

Where
`x` is the length of the hypotenuse, measured in centimeters.

Then, we clear the variable within (1):

`x = (7.4\,cm)/(\cos 56^(\circ))`

`x = 13.233\,cm`

The side of the hypotenuse is 12.233 centimeters.