Question

omgosh hep please
1. Find the value of x and y.

Answer 1

hello??

Answer 2

@mathstudent55 can u help me please with number 1

Answer 3

?

Answer 4

Sorry I had to go away from my computer. I'm back.

Answer 5

ok

Answer 6

You have a 30-60-90 right triangle. The ratio of the lengths of the sides are
short leg:long leg:hypotenuse
1:sqrt(3):2

Answer 7

In your case, short leg = x
long leg = y
hypotenuse = 20

Answer 8

how do u know this!?? its so hard lol

Answer 9

Do you know the Pythagorean theorem?

Answer 10

nope

Answer 11

Pythagorean Theorem
In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
If the legs have lengths a and b, and the hypotenuse, h, then
a^2 + b^2 = c^2

Answer 12

so how do i write my answer out dnt do it too professinal bc i already got caught bc sum1 helped me but gave me the answers from the answer key! n if i do it one more time i get kick out :(

Answer 13

Does that look familiar?

Answer 14

a2+b2=c2 i already know about tht

Answer 15

I'm not just giving answers, I'm trying to explain so you undestand.

Answer 16

i know but im just saying n yes i do understand it

Answer 17

Look at the drawing. I drew an equilateral triangle (all sides have equal length) whose sides all measure 2.

Answer 18

AC = 2, BC = 2, AB = 2

Answer 19

OH AB add together

Answer 20

D is the midpoint of AB, so AD = DB = 1 which is half of AB

Answer 21

Yes, the two parts rthat measure 1 add up to 2

Answer 22

yup

Answer 23

Now look at the triangle on the left side, ADC

Answer 24

yea its 2

Answer 25

In an equilateral triangle, the sides have equal lengths and the angles have equal measures. All angles of an equilateral triangle measure 60

Answer 26

oh no it s 3

Answer 27

This meanse that angle A measures 60, angle B measures 60 and angle ACB (entire angle at top) also measure 60

Answer 28

wait wer did the 60 come frm?

Answer 29

In an equilateral triangle, all sides measure same, and all angles measur same.

Answer 30

oh

Answer 31

The sides can be any length. ALL are 6 cm long, all are 10 inches long, all are 20 miles long. They can be any length, but all sides are the same length

Answer 32

to get the answer so they can all be equl right?

Answer 33

In any triangle, all angles add up to 180 degrees

Answer 34

SInce in an equilateral triangle all angles measure the same and all add up to 180, that means each one must be 60 degrees.

Answer 35

oh

Answer 36

That's how you knoe that angle A measures 60

Answer 37

yea

Answer 38

Now look again at the triangle at the left, triangle ADC. Angle A measures 60, the right angle measures 90, all angles add up to 180, so the angle at the top, angle ACD must measure 30. This means triangle ADC is a 30-60-90 triangle.

Answer 39

so for number one wat number are we trying to find?? 60?

Answer 40

so it adds up to 180

Answer 41

In number 1 you're trying to find what number one calls x and y which in my first drawing are called a and b

Answer 42

All angles add up to 180, but you're looking for the lengths of the sides, not measures of angles. You know the angles are 30, 60 and 90 in problem 1. The question is what are the lengths x and y?

Answer 43

the lengths in number one are 20 and 30

Answer 44

Actually, you are right. It does not state that one angle measure 60, so 60 is also an answer. But you still need to find x and y

Answer 45

how do you find x and y then??

Answer 46

In a 30-60-90 triangle, the hypotenus is twice the length of the short leg. Since the hypotenuse is 20, the short leg, x = 10

Answer 47

so weer did u get that 60 and 90 frm if in number one it only has 20 and 30?

Answer 48

The right angle on bottom left with the little square in tghe corner measures 90 degrees

Answer 49

The angle on top measures 30 degrees. We're told that

Answer 50

The angle that's left, on bottom right has to be 60

Answer 51

Angles of triangle add up to 180
180 - 90 - 30 = 60

Answer 52

ratio of hypotenuse to short leg is 2:1
Since hypotenuse = 20
2:1 = 20:x
2/1 = 20/x
multiply both sides by x:
2x = 20
x = 10

Answer 53

Ratio of hypotenuse to long leg is 2:sqrt(3)
2:sqrt(3) = 20:y
2/sqrt(3) = 20/y
Multiply both sides by y
(2y)/sqrt(3) = 20
Multiply both sides by sqrt(3)
2y = 20 sqrt(3)
y = 10 sqrt(3)