Question

Anyone know how to do this?

Answer 1

`5\sqrt2`

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.

Answer 2

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)=(5)/(x) \\5=x*sin(45)\\x = (5)/(sin(45)) \\x=7.07`

Answer: 7.1 (rounded to nearest tenth)

Hope that helps!