Question

3.The shorter leg of a 30°- 60°- 90° right triangle is 12.5 inches. How long are the longer leg and the hypotenuse?

Answer 1

that would be 25 degrees

Answer 2

12.5/sin30

Answer 3

I mean the hypotenuse is 25

Answer 4

hypotenuse is 12.5*2=25
longer = sqrt(25^2-12.5^2)=21.6 (pytago)
or because it is the half uniform triangle
longer 25*sqrt(3)/2=21.6

Answer 5

thnx

Answer 6

and the other side would be 21.65 cos30*25.

Answer 7

what is

Answer 8

because to the smaler angle provided is the smaler side --yes ? so than the shorter leg is 12,5 in than this is provide to angle with 30 degree
- so do you know how many is sin30=? and sin60=? or cos20=? or cos60=?

Answer 9

do you know this trigonometric table ?

Answer 10

no im doing pythagoream thoerum

Answer 11

yes but in this case you dont know just one side what sign that here you not can using the pythagorean teorem here

Answer 12

ok

Answer 13

so how do you think if you know that to the shorter side is oposite angle is 30 degree and you know that sin of an angle is equale the opposite side divided by hypothenuse so from this can you calcule anything ,different side ?

Answer 14

yes i havemissed that you know again that sin30=1/2

Answer 15

robetoby do you understand it ?

Answer 16

pardon for your name

Answer 17

come on robey i think you will can solve it sure

Answer 18

so than sin 30 = shorther leg divide hypothenuse
so 1/2 = 12,5/hypothenuse from this the hypothenuse =12,5*2=25
ao and now you can us pythagorean theorem so
25^2 =12,5^2 +longer side ^2 from this the longer side will be
equal sqrt(25^2 -12,5^2) =sqrt(625-156,25)=sqrt(468,75) =
=21,65

Answer 19

ok