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
will be 18. Knowing this, we can write out an equation:
u*
= 18
u = ![\frac{18}{\sqrt{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B%5Csqrt%7B2%7D%20%7D)
<u>Multiply both sides by </u>
<u> in order to get rid of the root in the denominator:</u>
u = ![\frac{18*\sqrt{2}}{\sqrt{2} * \sqrt{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B18%2A%5Csqrt%7B2%7D%7D%7B%5Csqrt%7B2%7D%20%2A%20%5Csqrt%7B2%7D%7D)
u = ![\frac{18*\sqrt{2} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B18%2A%5Csqrt%7B2%7D%20%7D%7B2%7D)
u = 9![\sqrt{2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D)
If you'd like me to explain how I got to the answer any further, just ask!
- breezyツ
Answer:
12 27 32 it could be wrong though
Answer:
135°
Step-by-step explanation:
LI = LM+MI = 35+80
Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
___
The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice