Question

What is the perimeter of the trapezoid below?

Answer 1

cant see the picture, but perimeter is just adding all of the sides

Answer 2

do you know pythagorean theorem?

Answer 3

I do

Answer 4

so can you use that to find the missing length in your picture?

Answer 5

I could but what numbers would I put in? Would I put in the top and bottom numbers? Or the one on the side with either the top or bottom number?

Answer 6

well we know that pythagorean thm only works on right triangles, so in your figure the right triangle is

Answer 7

can you solve for the missing length?

Answer 8

Yeah it would be \[\sqrt{136}\]

Answer 9

not quite, what you did was solve for the hypotenuse no one of the sides, try again

Answer 10

So how would I solve for one of the sides?

Answer 11

if the thm says \[c^2=a^2+b^2\]
and c is the hypotenuse, a and b are the sides, you can solve that equation for either a or b to get you the other side

Answer 12

when i solve for b i get \[b=\sqrt{c^2-a^2}\]

Answer 13

I got 10 for B

Answer 14

\[b=\sqrt{100-36}=8\]

Answer 15

dont know how you got 10

Answer 16

perimeter =40

Answer 17

I honestly don't know how either. So would the height be 10?

Answer 18

you dont know how you goy 10?

Answer 19

Not really but I squared the square root of 136 and then subtracted 36 from 136 and then square rooted 100. If I added 10+10+14+8 it equals 42 not 40

Answer 20

the addition should be 10+8+8+14

Answer 21

that height should be 8, the equation you should solve is
\[b=\sqrt{100−36}=8\]

Answer 22

So it would really be 40?

Answer 23

yep, do you see why?

Answer 24

I do and thanks :)

Answer 25

you are very welcome :)