The hypotenuse of a 45°-45°-90° triangle measures 22 2 units. what is the length of one leg of the triangle11 units 11^2 units 22 units 22^2 units

Option C.

Step-by-step explanation:

Given information: The hypotenuse of a 45°-45°-90° triangle measures 22√2 units.

Let x be the length of one leg.

From the given figure it is clear that length of both legs are same.

According to the Pythagoras theorem, in a right angled triangle

Substitute in the above formula.

Divide both sides by 2.

Taking square root on both sides.

The length of one leg is 22 units.

Therefore, the correct option is C.

Length of one leg of the triangle be .

Step-by-step explanation:

Now by using the trignometric property .

As

Putting the values in the trignometric identity .

As sin 90° = 1

Put in the above

Thus

Therefore the length of one leg of the triangle be .

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

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step-by-step explanation:

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