Question

Pls help me hurry I need help!!

Answer 1

C. 9 square roots of 2

To answer this question, it's super important that you understand the ratio of sides for special triangles. This triangle in particular, a 45-45-90 triangle, has a ratio between the legs and hypotenuse of 1:1:

Since we are given the value of the hypotenuse, we know that the value of the two sides multiplied by $\sqrt{2}$ will be 18. Knowing this, we can write out an equation:

u*$\sqrt{2}$ = 18

u = $\frac{18}{\sqrt{2} }$

Multiply both sides by $\sqrt{2}$ in order to get rid of the root in the denominator:

u = $\frac{18*\sqrt{2}}{\sqrt{2} * \sqrt{2}}$

u = $\frac{18*\sqrt{2} }{2}$

u = 9$\sqrt{2}$

If you'd like me to explain how I got to the answer any further, just ask!

- breezyツ