Question

Find x in these 45 - 45 - 90 triangles.

Answer 1

@leonardo0430

Answer 2

@sumanta ???

Answer 3

-90

Answer 4

it has to fill in the two blanks

Answer 5

it would be like ?sqrt?

Answer 6

-90 ?
an angle isn't asked ...

so,
since we know its an 45-45-90 triangle,
both of its legs will be =x

By applying Pythagoras theorem
\(\Large x^2+x^2 =8^2\)

can you find x from here ?

Answer 7

4?

Answer 8

no wait

Answer 9

not just 4
you need to first find x^2
and take the square root :)
waiting...

Answer 10

2x^2 = 64 right??

Answer 11

yes

Answer 12

so its 4 sqrt 2

Answer 13

yes

Answer 14

yes, 4 sqrt 2 is correct !
good!

Answer 15

wooh! i have a few more??

Answer 16

sure, ask!

Answer 17

you know
in a 30-60-90 triangle
what is side opposite to 60 degree
in terms of hypotenuse?

Answer 18

um lol. guessing like 30?

Answer 19

close! :P

side opposite to 60 degree = \(\sqrt 3 /2 \times \) hypotenuse :)

Answer 20

so,
in our diagram, we have side opposite to 60 degree as \(\huge 7\)

so hypotenuse = y = \(\Large 7\times \sqrt 3/2\)

Answer 21

and x is just the side opposite to 30 degrees,

so it'll be half of the hypotenuse y

x = y/2 = \(\Large 7\sqrt 3/4\)

Answer 22

you need to remember these 2 things :

`In a 30-60-90 Triangle, `
`Side opposite to 60 degree angle = sqrt 3/2 times the Hypotenuse`
`Side opposite to 30 degree angle = 1/2 times the hypotenuse`

Answer 23

ok lol so wait how will that fit into the choices they give?