Answer:
The length of the longer side is 2√2/3
Step-by-step explanation:
A 45-45-90 triangle is a right-angled triangle.
In fact, since it has two angles equal, it is a right angled isosceles triangle. What we are saying is that two of its sides are equal.
Hence, we have two short sides which are the opposite and the adjacent and a longer side which is the hypotenuse
Thus, to find the length of the longer side, we employ Pythagoras’ theorem and it states that the square of the hypotenuse equals the sum of the squares of the two other sides;
Mathematically, let’s call the longer side x
so x^2 = (2/3)^2 + (2/3)^2
x^2 = 4/9 + 4/9
x^2 = 8/9
x = √(8/9)
x = 2√2/3
First if a>0 sqrta=a^(1/2), and (a^p)^q=a^pxq
sqrt(a^4/9)= (a^4/9)^1/2=a^4/9x1/2=<span>a^(2/9)
so the answer is </span><span>a^(2/9)</span>
" 0.83 " MEANS " 83/100 ". They are identical quantities, because they are the SAME quantity.
I think so if its not im srry
3/5 = 0.3 * x
3/5 is 30% of x - This is how they match up from the word problem to a number sentence
So to solve it...
3/5 = 0.3x
x = 3/5 ÷ 0.3 = 2