Question

solve

Answer 1

how can you know such a thing?

Answer 2

i didn;t get u @satellite73

Answer 3

the best you could do is make the area a function of one side.

Answer 4

but only hypotenuese is given

Answer 5

I think they might want an answer in terms of the legs so in this right triangle:

Answer 6

We know that a^2+b^2=82^2 so
\[a=\sqrt{82^2-b^2}` and` b = \sqrt{82^2-a^a}\]

Answer 7

And of course a and b are the base and the height so Area = \[A=\frac{\sqrt{(6724-a^2)(6724-b^2}}{2}\]

Answer 8

i worked it out with my cousin and we got 810

Answer 9

yes ur right @123456man
but how?

Answer 10

you only know the hypotenuse, you need the base and the height, and you do not have enough information

Answer 11

if the base and height are the same, then they are both
\(41\sqrt{2}\) and so you can compute the area and get 1681

Answer 12

my cousin did most of the work after we argued about who was right.

Answer 13

but they don't have to be the same

Answer 14

the base could be \(1\) and the height could be \(\sqrt{81}\) for example

Answer 15

he flipped the triangle and used the cosine rule since the hypotenuse is known

Answer 16

then the area would only be \(\frac{\sqrt{81}}{2}\)

Answer 17

at the risk of repeating myself, there are infinitely many triangle with hypotenuse 82

Answer 18

What cosine rule did he use?

Answer 19

so his answer is wrong?

Answer 20

Not according to the asker.