Question

geometry help

Answer 1

In a 30-60-90 right triangle (which you have),

the angle opposite the 30-degree angle is 1/2 hypoenuse

Answer 2

In a 30-60-90 right triangle, the leg opposite the 60-degree angle is (1/2) the hypoenuse multiplied by the square root of 3.

Answer 3

so now, look at the diagram and complete the question.

Answer 4

but is 30 =a and 60=b 90=c or wht

Answer 5

Isnt the leg opposite the 30-degree angle have length of 17?

Answer 6

So, as I just said, the leg opposite the 30-degree is 1/2 the hypotenuse. So how long is hypotenuse, y?

Answer 7

yeah but y did u say 30 90 60 nvm can u explain

Answer 8

ohh 15

Answer 9

One angle of the triangle is 30 degrees, one angle is 90, the third angle is 60 degrees. Look at the diagram.

Answer 10

So how long is y, the hypotenuse?

Answer 11

i dont know

Answer 12

Do you agree that the leg opposite the 30-degree angle has length 17?

Answer 13

yes

Answer 14

So if that leg is 17, and that leg is half the hypotenuse, how long is the hypotenuse?

Answer 15

34

Answer 16

yes! so y = 34

Answer 17

Really, you dont have to find x, becuase the only choice that has y = 34 is the last choice. But you should find x for practice.

Answer 18

Make sure you know how to find x.

Answer 19

can u help me with xi have no idea how to find it

Answer 20

x is the side opposite the 60-degree angle...agree?

Answer 21

yes

Answer 22

As I said earlier, the leg opposite the 60-degree angle, which is x, is 1/2 the hypotenuse multiplied by the square root of 3.

Since the hypotenuse is 34 (from before), so x is 1/2 of 34 = 17 multiplied by square root of 3.

Final answer: x = 17 sqrt(3).

Now the last choice makes sense.

Do you understand?

Answer 23

yes thank u soo very much

Answer 24

Great!

Answer 25

i have one more prob if u can help me with

Answer 26

whats that?

Answer 27

problem

Answer 28

whats the new question?

Answer 29

question 4?

Answer 30

yes

Answer 31

Before we solve for anything...let's look at the triangle.

How many degrees are in each angle of the triangle?

Answer 32

45 90 and 45

Answer 33

Yes, so we call this triangle, a 45-45-90 right triangle.
Which side is the hypotenuse?

Answer 34

the x

Answer 35

correct.

Now we can solve for x and y.

Answer 36

x=14

Answer 37

because its 7 is half of 14

Answer 38

Since two angles of the triangle are equal, 45 degrees in each of two angles, so the triangle is an isosceles triangle. So the sides opposite the 45-degree angles are equal.

So, which are the two sides opposite the two 45-degree angles?

Answer 39

x is NOT 14. That was in the last problem when the angles were 30-60-90. This is a new case when the angles are 45-45-90.

Answer 40

How long is y?

Answer 41

ohh ok sorry

Answer 42

is y 14

Answer 43

NO.

Answer 44

ok then how do we get y

Answer 45

There are 2 legs of this triangle...the side marked 7, and the side marked y.

Answer 46

These 2 legs MUST be equal in length! Because these 2 legs lie opposite both 45-degree angles...and in a triangle, when two angles are equal, the sides opposite the equal angles are equal in length.,

Answer 47

Majes sense?

Answer 48

You understand?

Answer 49

?

Answer 50

ok

Answer 51

which answer would it be then