Question

The area of a right triangle is 4. The sum of the lengths of the two sides adjacent to the right angle of the triangle is 9. What is the length of the hypotenuse of the triangle.

Answer 1

Just form some equations using the information that you are given.

Answer 2

e.g. area = \(\frac{1}{2}ab=4\)

Answer 3

and you are also told a+b=9

Answer 4

and you know from Pythagorus that \(c^2=a^2+b^2\)

Answer 5

do you need more help or do you know how to proceed from here?

Answer 6

do you understand?

Answer 7

Please let me know if you need any further help on this.

Answer 8

yes i do

Answer 9

65 is apparently wrong

Answer 10

where did you get 65 from?

Answer 11

that was my final answer

Answer 12

I think what you found was \(c^2=65\) - you now need to take its square root.

Answer 13

you cant

Answer 14

so u get +-65^(2)

Answer 15

the hypotenuse cannot be a negative number. so the answer should be:\[c^2=65\]therefore:\[c=\sqrt{65}\approx8.06\]

Answer 16

ok thats the answer

Answer 17

thanks

Answer 18

did you understand the process? that is more important than just getting the right answer.

Answer 19

somewhat, yeah

Answer 20

ok - I'll be more than glad to explain it to you further if you wish.

Answer 21

nah, im ok. thanks though. i appreciate it.

Answer 22

you are more than welcome - anytime :-)

Answer 23

im gonna post some other questions i need help with though

Answer 24

ok