Question

in isosceles triangle KLMN, what is the value of X?
i will draw the figure....

Answer 1

That's a trapezoid..

Answer 2

yes its a trapezoid

Answer 3

srry i messed up when typing the question

Answer 4

can you see two similar triangle there?

Answer 5

yes the 10 and 8 ones

Answer 6

Yup

Answer 7

i need to know how to solve for X

Answer 8

If the intersection point of KM and NL is O tell me what are the similar triangles? ("10, and 8 ones" are clear to understand)

Answer 9

im confused

Answer 10

Among these 4 triangles, what are the similar triangles,
$$\Delta KOL$$$$\Delta NOM$$$$\Delta KON$$$$\Delta LOM$$
(O is defined above)

Answer 11

KON and LOM

Answer 12

is X=13?

Answer 13

is this Iso sceles trapezoid

Answer 14

yea it is isoceles trapezoid

Answer 15

then x = 11

Answer 16

how?

Answer 17

this is because, in isosceles trapezoid the diagonal have same length i.e they are equal in measure

Answer 18

therefore 8+13 = x +10
and by equating x = 11

Answer 19

oh i get it thanks

Answer 20

u welcome

Answer 21

i still don't get how you get 11?

Answer 22

13+8=21 10+?=21 ?=11 @april115

Answer 23

ohhhhh

Answer 24

Lol thank you

Answer 25

no problem

Answer 26

Then this cannot be an isoceles trapezoid.
If it was according to hesan x= 11

also since KOL is similar to NOM (which I was trying to say)

$$\frac{8}{13}=\frac{10}{x}$$
this gives gives a different answer

Answer 27

the correct answer is 16.25 and this is not a isosceles trapezoid (since the mentioned triangles are similar for any trapezoid)