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liberstina [14]
2 years ago
9

Anyone know how to do this?

Mathematics
2 answers:
lesya [120]2 years ago
6 0

<u>To solve this, we need to use our trignometric functions</u>;

   ⇒ <em>look at the diagram attached</em>

<em />

<u>Let's examine what the problem wants</u>:

  • hypotenuse (<em>longest side)</em> of the triangle

<u>Let's examine what the problem gives us</u>:

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

<u>Let's solve</u>:

   sin(45)=\frac{5}{x} \\5=x*sin(45)\\x = \frac{5}{sin(45)} \\x=7.07

<u>Answer: 7.1</u> (<em>rounded to nearest tenth)</em>

<em />

Hope that helps!

Sidana [21]2 years ago
3 0

Answer:

5\sqrt2

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 1:\sqrt2, which means for this triangle it would be 5:5\sqrt2. This means the length of the hypotenuse is 5\sqrt2\\, which is x, which is the answer.

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