Question

Find the third side in simplest
can anybody help ?

Answer 1

Answer:

65

Step-by-step explanation:

right angle triangle so:

a=??, b=72 and c=97

a^2+b^2=c^2

a=√c^2-b^2

a=√97^2-72^2 =65

Answer 2

Answer:

Pythagorean Theorem!!!!

Step-by-step explanation:

So, in a right triangle, which is what you are dealing with right now, the square of the hypotenuse is equal to the sum of the squares of the legs.

Essentially: $a^{2}+b^{2}=c^{2}$ (a and b are legs, while c is the hypotenuse, the side opposite to the 90 degree angle)

So, we can just plug our side lengths into this, and find our third side!

$(72)^{2}+x^{2}=(97)^{2}\\5184+x^{2} =9409\\x^{2}=4225\\x=65$

Hmmm. This is what I got. The thing is though, it says simplest radical form, implying that I was supposed to get a different answer. Oh well.

Hope this helps!