Question

ILL GIVE BRAINLIEST!! Find y. Give your answer in the simplest form. 45°

Answer 1

Answer:

X = Y

Step-by-step explanation:

$\huge {\boxed {\sf A+B+C = 180^o }}$

$\huge {\boxed {\sf A+45^o+90^o = 180^o }}$

$\huge {\boxed {\sf A+135^o = 180^o }}$

$\huge {\boxed {\boxed {\bf A=45^o }}}$

• Now we must know the hypotenuse, knowing that:

$\huge {\boxed {\blue {\sf \cfrac{a}{sin (A) } = c }}}$

So....

$\huge {\text { \sf \cfrac{x}{sin \: 45^o } = \cfrac{x}{\frac{\sqrt{2} }{2} } = x \cdot \cfrac{2}{\sqrt{2} } = \cfrac{\sqrt{2} }{y } = 2x }}$

Remembering that:

$\huge {\boxed {\sf \bf sin \: 45^o = \cfrac{a}{a\sqrt{5} } = \cfrac{1 }{\sqrt{2} } = \cfrac{\sqrt{2} }{2} }}$

So:

$\huge {\boxed {\sf \bf y = 2}}$

• I think that's it, good studies