If the length of a diagonal square is 10 feet, the length of the side of the square is?

The side lengths is:

a = 5√2 or 7.07 units

Step-by-step explanation:

The diagram is attached below.

From the diagram, it is clear that we're dealing with a square, so all side lengths of the square would measure the same length.

Moreover, the angles B and D are right, thus we need to use the Pythagorean theorem to find the value of 'a'.

Here, a and b are the right containing sides

As a and b are equal, we consider them as 'a'.

Also, 'c' is the hypotenuse.

Hence,

The diagonal is the Hypotenuse  'c'.

so

a²+a² = 10²

2a² = 100

a² = 50

a = √50

a = 5√2             ∵√50=√25×2=5√2

a = 7.07 units

Therefore, the side lengths is:

a = 5√2 or 7.07 units

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!

correct answer is c. just did it

step-by-step explanation: