Question

CAN SOMEONE HELP ME FIND THE AREA OF THIS TRIANGLE

Answer 1

`A = 73.1\ m^2`

Explanation:

We calculate the height of the triangle using the function
`sin(\theta)`

By definition:

`sin(\theta) =(h)/(hypotenuse)`

Where h is the height of the triangle

In this case we have that:

`\theta=35\°`

`hypotenuse=17`

Then:

`sin(35) =(h)/(17)`

`h=sin(35)*17\\\\\\h =9.75`

Then the area of a triangle is calculated as:

`A = 0.5 * b * h`

Where b is the length of the base of the triangle and h is its height

In this case

`b=15`

So

`A = 0.5 *15*9.75`

`A = 73.1\ m^2`

Answer 2

Area of triangle = 73.1 m²

Explanation:

Points to remember

Area of triangle = bh/2

Where b - base and h - height

To find the height of triangle

Let 'h' be the height of triangle

Sin 35 = h/17

h = 17 * Sin 35

= 17 * 0.5736

= 9.75 m

To find the area of triangle

Here b = 15 m and h = 9.75

Area = bh/2

= (15 * 9.75)/2

= 73.125 ≈73.1 m²