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

Step-by-step 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:

$\frac{1}{2}$ 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:

$\frac{1}{2}$ x base x height

Plug the values in:

$\frac{1}{2} * 22.8 * 20.2325$

= 230.6505

So the area is 230.65 feet!

Hope this helps!