Question

Fan and medal
So if i have 15 squared + 8 squared = hypotenuse squared
what is the hypotenuse

Answer 1

17

Answer 2

how do you get that

Answer 3

15*15 is 225 and 225 + 64 is 284

Answer 4

https://lh3.googleusercontent.com/RK3aG4gOagKb2WF5rfauSQ1-2OX65E8yeGSWXd9_CSpQAGDIQ-hZTB-ABKbXFXKr6D3yXw=s85

Answer 5

oh whoops 9

Answer 6

here is the original triangle

Answer 7

its a number either ending in 9

Answer 8

`15 squared` or `15^2` means we multiply 15 by itself twice

15^2 = 15*15 = 225

Answer 9

think of a square with side length 15

Answer 10

yes i understand that i just dot understand how you got 9

Answer 11

and 7^2 and 3^3 end in 9

Answer 12

oh

Answer 13

the area of this square is base*height = 15*15 = 225

Answer 14

just add 15*15 and 8*8

Answer 15

you get 289

Answer 16

yeah how do you get 9 from that

Answer 17

the last number

Answer 18

@mrjackdzi originally wrote 284 but corrected to mean 289

he just changed the last digit

Answer 19

yes

Answer 20

225+64 = 289

Answer 21

so the answer is 9

Answer 22

so the only numbers that you square that end in nine is 3 and 7

Answer 23

the answer is not nine, it is a number who ends in 3 or 7

Answer 24

maybe jim can explain

Answer 25

15^2 = 225
8^2 = 64

so 15^2+8^2 = 225+64 = 289

the 289 is equal to the hypotenuse squared. We want the hypotenuse without the square

so if x = length of hypotenuse then

x^2 = 289
x = ???

hint: apply the square root to both sides

Answer 26

i just did guess and check with 13 and 17

Answer 27

@jim_thompson5910 's strategy is easier to understand though

Answer 28

good job

Answer 29

Ok thanks i checked all of my equation and it all works out can you help with one more question please

Answer 30

ok

Answer 31

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

A right angle triangle is shown with the Earth at the right angle. The acute angle between the line joining the Earth and the Sun and the Sun and the moon is x degrees. The distance between the Earth and the Sun is y.

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.

Answer 32

oh i remember this

Answer 33

call the distance opposite from x z

Answer 34

ok

Answer 35

so what trigonometric function can you use for this?

Answer 36

you would use sin correct

Answer 37

you don't know the hypotnotuse so you can't use it

Answer 38

yes the hypotenuse is unknown, but it still factors into the problem

Answer 39

so then we must use tan

Answer 40

yes you could use it

Answer 41

and tan would work yes

Answer 42

ok

Answer 43

`Using complete sentences, explain how the scientist can use only these two measurements to calculate the distance between the moon and the Sun.`