Question

A 30- 60- 90 triangle has a hypotenuse of length 9.8. What is the length of the longer of the two legs? If necessary, round your answer to two decimal places.

Answer 1

is length of any other leg given??

Answer 2

no just the hypotenuse

Answer 3

cos(30)*9.8

Answer 4

i got 8.5?

Answer 5

If C = the hypotenuse, and B = the longer leg, then,

sin(60) = B/C = sqrt(3)/2

Substitute C = 9.8:

B / 9.8 = sqrt(3)/2

B = (9.8) sqrt(3)/2

= 4.9 sqrt(3) <-----exact answer

~= 8.49 <--------- decimal approximation

Answer 6

so 8.49 is the required ans

Answer 7

geometry is your thing huh?

Answer 8

your a big help!

Answer 9

well maths in general upto the Indian XIth standard

Answer 10

u r welcome to all help that i can extend......