Respuesta :

linandrew41

To solve this, we need to use our trignometric functions;

   ⇒ look at the diagram attached

Let's examine what the problem wants:

  • hypotenuse (longest side) of the triangle

Let's examine what the problem gives us:

  • side adjacent to the 45-degree angle
  • angle that has measure of 45-degrees

Let's solve:

   [tex]sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07[/tex]

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Ver imagen linandrew41
notleoprobably

Answer:

[tex]5\sqrt2[/tex]

Step-by-step explanation:

This is a 45-45-90 triangle so we can find all the side lengths easily.

The ratio between the base and the hypotenuse of a 45-45-90 triangle is [tex]1:\sqrt2[/tex], which means for this triangle it would be [tex]5:5\sqrt2[/tex]. This means the length of the hypotenuse is [tex]5\sqrt2\\[/tex], which is [tex]x[/tex], which is the answer.

Ver imagen notleoprobably

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