Question

Anyone know how to do this?

Answer 1

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:

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

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!

Answer 2

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.