Question

What is the length of each leg of the triangle below?

Answer 1

C.

Explanation:

It is a right triangle with hypotenuse c = 12, also for having two equal angles is an isosceles triangle, the missing sides (catethus) are equal (a and b)
a = b = the legs

Apply the Pythagorean theorem

`c^(2)=a^(2) +b^(2) \\c^(2) =2a^(2)`

`a^(2) =(c^(2) )/(2)=((32)^(2) )/(2) =512`

`a=√(512) =√(256(2)) =16√(2)`

Hope this helps

Answer 2

C

Explanation:

32/sqrt(2) = 32sqrt(2)/2 = 16sqrt2