Question

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

Answer 1

Answer:

C

Step-by-step explanation:

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

Answer 2

Answer:

C.

Step-by-step 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

$c^{2}=a^{2} +b^{2} \\c^{2} =2a^{2}$

$a^{2} =\frac{c^{2} }{2}=\frac{(32)^{2} }{2} =512$

$a=\sqrt{512} =\sqrt{256(2)} =16\sqrt{2}$

Hope this helps