Aright triangle has legs that are 10 meters and 3 meters in length. how long is its hypotenuse?

Use the Pythagorean Theorem.

a^2 + b^2 = c^2

Where 'a' and 'b' are the two legs and 'c' is the hypotenuse.

Plug in what we know:

3^2 + 10^2 = c^2

Simplify the exponents:

9 + 100 = c^2

Add:

109 = c^2

Find the square root of both sides:

c = 10.44

So the Hypotenuse is approximately 10.44 meters long.

We need to use the Phytagorean Theorem:


Where 'a' and 'b' are the legs of the right triangle, and 'c' is the hyptotenuse.

So it wants to know the hypotenuse, so that means that '10' and '3' are the legs of the right triangle and we can substitute those numbers for 'a' and 'b' and solve for c.

So, plugging in the values for 'a' and 'b' :



We can now expand what  and  equal to:



Now we add  and 



So now we have to take the square root to get the value for 'c' or the hypotenuse:



And so the value of the hypotenuse will be 

And if it wants the answer in decimal form, that would be: 

x + y = 16 and x = y + 3.

Step-by-step explanation:

Let us assume that in that particular game, Serenity has made x number of two-point shots and y number of three-point shots.

Given that, Serenity scored a total of 16 points and made 3 more two-point shots than three-point shots.

Hence, we can write the system of equations from the above conditions as

x + y = 16 and x = y + 3.

So, those are the system of equations that can be used to get the value of x and y. (Answer)