Question

Ind the hypotenuse in a triangle that has a 56.92 ° angle touching a 6.55 cm side.

Answer 1

The hypotenuse in the triangle that has a 56.92° angle touching a 6.55 cm side is 12 cm

How to calculate the hypotenuse of the triangle?

First, we shall draw the triangle as explained from the question to have a better understanding. Please attached photo

With the diagram shown, we can easy calculate the hypotenuse of the triangle. This is shown below:

• Angle in the triangle = 56.92°
• Adjacent of triangle = 6.55 cm
• Hypotenuse of triangle =?

`Cos\ \theta\ = (Adjacent)/(Hypotenuse) \\\\Cos\ 56.92 = (6.55)/(Hypotenuse) \\\\Hypotenuse\ *\ Cos\ 56.92\ =\ 6.55\\\\Divide\ both\ side\ by\ Cos\ 56.92\\\\Hypotenuse = (6.55)/(Cos\ 56.92) \\\\Hypotenuse = 12\ cm`

From the above calculation, we can conclude that the hypotenuse of the triangle is 12 cm

Complete question:

Find the hypotenuse in a triangle that has a 56.92 ° angle touching a 6.55 cm side.