Question

Determine the diagonal of the rectangle inscribed in an isosceles right triangle,if the upper two vertices of the rectangle lie at the midpoints of the legs of the triangle

Answer 1

can you drawing it ?

Answer 2

I dont know

Answer 3

right ?

Answer 4

how?

Answer 5

how to solve for BE ?

Answer 6

now you can writing proportionality of sides

Answer 7

pls solve for BE

Answer 8

so you see that BF = DE = x

and so DB = EF = x

yes ? so than what mean this ? what is DBEF ?

Answer 9

a square

Answer 10

exactly

Answer 11

then?

Answer 12

so how can you calculi the diagonal of a square ?

Answer 13

I dont know

Answer 14

what is the masure of an angles of a square ?

Answer 15

90

Answer 16

yes and what make the diagonal with this angle ?

Answer 17

45?

Answer 18

yes bisect it ,right

Answer 19

then?

Answer 20

than now you know that BF = EF and that the triangle BEF is a right triangle

so then how you can calculi the hypothenuse there ?

Answer 21

us pythagora

Answer 22

but theres no given value

Answer 23

yes but you have added to the value of x and now you can calculi it in raport of x

ok ?

see what you will get ?

Answer 24

what? I dont get it

Answer 25

why you dont know pythagora"s theorem ?

Answer 26

I know but how will i solve it?

Answer 27

theres no given value show your solution

Answer 28

write it for BE

Answer 29

BE^2 = x^2 + x^2

BE = ?