Question

How do i find the amount of a tringle if the sides of the triangle measures 23.66 feet, 23.66 feet and 22.8 feet?

Answer 1

Greetings!

Answer:

230.65

Explanation:

If two sides are the same (two sides measure 23.66) this means the triangle is an isoceles triangle. The equation for area of an isoceles triangle is as follows:

`(1)/(2)` x base x height.

As you have the size of the base, you need to find the area of the height.

As this turns into a pythagoras' theory question, you need to reacall:

`a^2 + b^2 = c^2`

To get the b^2 value we need to divide the total base (22.8) value in two:

22.8 ÷ 2 = 11.4

So, as you have the hypotenuse (
`c^2`) and the base (
`b^2`) we need to find the
`a^2` value.

To do this we need to subtract the
`b^2` value from the
`c^2` value:

`c^2 - b^2 = a^2`

Plug the values in:

`23.66^2 - 11.4^2 = a^2`

So
`a^2 = 429.8356`

Simply square root this to find a:

a = 20.7325

Now we have all the possible value, we need to plug them into the area formula which was:

`(1)/(2)` x base x height

Plug the values in:

`(1)/(2) * 22.8 * 20.2325`

= 230.6505

So the area is 230.65 feet!

Hope this helps!