The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c²) is equal to the sum of the two perpendicular sides squared (a² + b²): c² = a² + b² or, solved for c, \(c = \sqrt{a + b}\)

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(2a)(2ab) - (9a²)(8b)
(2 x 2)(a x a x b) - (9 x 8)(a² x b)
(4)(a¹⁺¹ x b) - (72)(a²b)
4a²b - 72a²b
-68a²b

To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.

-9b - 6x = 4b + 8x - 9
-9b = 4b + 8x - 9 + 6x
-9b - 4b = 8x - 9 + 6x
-13b = 14x - 9
b = \( \frac{14x - 9}{-13} \)
b = \( \frac{14x}{-13} \) + \( \frac{-9}{-13} \)
b = -1\(\frac{1}{13}\)x + \(\frac{9}{13}\)

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 5 x 1 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 29° = 113°