Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg
12 divided by /2
Rationalize denominator:
12 * /2 divided by by /2 * /2
Simplify denominator:
12 * /2 divided by 2
Simplify:
6 * /2 or 4.24
Both x and y because it’s a 45-45-90 triangle
Area of the triangle = (1/2)*base*height
For right triangle base and height can be legs.
We have one leg = 5 ft. (Lets think it is a base.)
We need to find the other leg.
We are going to use Pythagorean theorem.
5² + b²=13²
b²=144
b=12 (It is going to be our height.)
Area of the triangle = (1/2)*5*12= 30 ft²
Area of the triangle = 30 ft²
First, note that
Then use the formula for the sum of perfect cubes:

Therefore,

The quadratic trinomial
couldn't be factored anymore, so the expression
has two factors
and
Answer: correct choice is A.