Question

I need help pleaseeee

Answer 1

Answer:

Third side is 9m.

Step-by-step explanation:

In a right triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

15 x 15= 225m2

12 x 12 = 144m2

225 - 144 = 81m2 and the length of the third side is square root of 81, which would be 9m as your final answer.

Answer 2

Answer:

Follow the Pythagoreas theorm. You typically need to find $C^2$, which is the hypotonuse, but because we already know this, we can rearrange the equation to make sense.

Personally, I like to substitute with non-related numbers, such as 1 and 2. In the following example, the sides are 1 unit, 2 units, and 5 units. First, I like to figure out the sum of $a^2$ and $b^2$ .

EX: $1^2+2^2= 5$

$25^2=5$

I can rearrange this so that one leg and the hypotenuse are on the same side:

$25^2-1^2=2^2$

Now I can take out the example numbers, and substiture in the variables.

$c^2-a^2=b^2$

Now all I have to do is fill in the known variables!

$15^2-12^2=b^2$

Solve!

$225-144=80$

We're not done- we have to find the square root of 81!

It's 9m!

Finally, we can check our work by plugging $A^2$ and $B^2$ into the normal equation. It checks out!

$12^{2} +9^{2} = 15^{2} \\=225 =225\\225=225$

Have questions? Let me know!