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You can use the pythagorean theorem since it has a right angle. Are you familiar with it?

no im kinda confused

do you know what a hypotenuse is?

yes

yes

so can you take it form here?
since a = b, \( a^2 + a^2 = c^2 \)

what is a and what is like what do you plug in

well let me ask, what is a hypotenuse?

the longset side of a right triangle

ok

are you still confused? all that's left is to simplify this equation and solve.

okay i got 36?

show me your steps. i don't that's right.

think*

what is \( a^2 + a^2 \) ?

yes i need the steps!

can we start from the beginning im soo sorry!

yes

but this is an isosceles triangle, so the two remaining sides are equal in length, would you agree?

yes

Of course, you only need the value of one side.

okay and c2 is 36 right so a2+a2= 36^2

exactly! so what does \( a^2 + a^2\) equal? we can reduce this to one term.

a^3

not quite. how about this, what does \( x + x \) equal?

what if i wrote it this way: \( 1x+ 1x \)

2x^2?

o okay

so what is x + x?

4

no x is a variable, not a number. x can be *any* number

okay x^2

no just add the numbers *in front* of the variable.
x = 1x

2x

right! so now let's look at the original equation, what is \( a^2 + a^2 \)

keep in mind that \(a^2 \) is the same thing as \(1a^2\)

2x^4

2a^4

you don't add the exponents, just the coefficients.
\( x = 1x = x^1 = 1x^1 \) are all the same same

2a^2

isnt it a2=B2

very good! so let's look at our original equation:
\(a^2 + a^2 = 36^2 \) =
\(2a^2 = 36^2\)

yes it is, that's how we eliminated the b^2 and replaced it with another a^2

ok

so i multiply 36 times 36 and divide it by 2

absolutely!

a^2 = 36^2 / 2

36 right

not quite, remember, it's: 36 * 36 / 2

ok

first do 36 * 36, then divide that answer by 2

648

i got 26

but thats not one of the anwsers

what are the answers?

a) 18
b) 18√2
c) 36
d) 36√2

well one of those answers roughly equals the number you got.

b

that's right! congrats :)

thanks soo much!

haha thanks! :)