Question

I need help guys tomorrow is deadline:(

Answer 1

1)
`√(2)`

2) 11

3) 5

4) 8

5) I feel like there is something wrong with this question

6)
`√(3)`

7) 10

8) 4

9) 18

10) 8
`√(3)`

Explanation:

#1

In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle

Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by
`√(2)`

Since the length of one of the legs are 4, multiply that by
`√(2)` and you will get:

4
`√(2)`

#2

Same concept, but reverse

The hypotenuse is 11
`√(2)` and to go back to one of the leg lengths, instead of multiplying, you want to divide.

So:

`(11√(2) )/(√(2) )`

Which is equal to:

11

You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11

#3

Same as the previous question

`(5√(2) )/(√(2) )`

b = 5

#4

a and b are equal to x, and in this case, x is 8.

So going back to the picture, you can see that you need to multiply this x by
`√(2)` to get 8
`√(2)`

#5

You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse

#6-10

Apply the same rules for these set of questions:

Notice that there is a different system for these though, I will let you figure them out.