Question

To the nearest tenth which is the permeter of ABC?

Answer 1

First let's calculate the sides opposite the angles.

For this we will use the expression for the sine.

In a right angled triangle, the sine of an angle is:

The length of the side opposite the angle divided by the length of the hypotenuse.

The abbreviation is sin

sin θ = opposite / hypotenuse

`\begin{gathered} AB=h\cdot\sin (29) \\ AB=4.84 \\ \\ CB=h\cdot\sin (61) \\ CB=8.74 \end{gathered}`

The perimeter of a triangle is simply the sum of its three sides.

`\begin{gathered} P=10+8.74+4.84 \\ P=23.6 \end{gathered}`

The perimeter would be 23.6