Selena is flying a kite as shown below. Use the measurements to find how long the kite string is.
16 feet
12 feet
feet

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

[tex]\sqrt{400} = \sqrt{c}[/tex]

20 = c

so the length of the kite string is 20 feet

The required length of the kite string will be 20 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the question, we have to use Pythagoras's theorem

a² + b² = c²

Here hypotenuse = c,

Substitute the known values and we get

16² + 12² = c²,

Here c is the length of the kite string and simplifies the equation as:

256 + 144 = c²

c² = 400

c = √400

c = 20

Thus, the length of the kite string is 20 feet.

Learn more about Pythagoras's theorem here:

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