Answer:
Step-by-step explanation:
a^2+b^2=c^2 is the formula for area of a triangle.
The hypotenuse (c) is 24. 24*24 is equivalent is 576.
As we are given one side of the triangle we can find a or b, any works, it doesn't effect the answer.
14*14 is 196.
Now we are left with, 196+b^2=576. Then we subtract 196 from both sides so both sides of the equation remain equivalent. Even if you do not use the equation, the hypotenuse of a triangle is always its largest size, so we must subtract a^2 from c^2. 576-196 is 380. The answer is[tex]\sqrt{380}[/tex] or the square root of 380. This can be simplified to [tex]2\sqrt{95}[/tex] as 4 is a perfect square and a factor of 380. Hope this helps!!
