Question

HELP PLEASE.
For what values of x and y are the triangles congruent to HL?
Drawing below.

Answer 1

What's HL?

Answer 2

hmmm.. that makes it hard to answer

Answer 3

Yeah, but I'm trying to figure out what HL is..

Answer 4

I hate question's like these that aren't very specific

Answer 5

Its talking about the HL theorem

Answer 6

H I think hypotenuse and L is length

Answer 7

Oh yeah!

Answer 8

then set them equal and solve

Answer 9

Could you show me how please?

Answer 10

sorry, I looked at it, let me think on this! Sorry, i didn't see it had 2 variables

Answer 11

Oh okay!

Answer 12

What math is this?

Answer 13

take longer to solve I will get back to you later

Answer 14

oh I did geom last year, let me see if I remember this

Answer 15

Ok thanks!

Answer 16

welcome

Answer 17

Ans. x = -1, y=3
Solution:
You basically need to prove triangles congruent by HL i.e. by Hypotenuse & Length(length should probably represent height)
So in the first triangle, Hypotenuse = 3y +x & Length = y-x
in 2nd triangle, H = y+5 & L = x+5
For concurrency by HL, both the H's and L's shud be equal respectively i.e.
3y+x = y+5
And
y-x = x+5
By solving these eqns u will get, x=-1 and y=3
Trivia: Hypotenuse is basically the longest side of the triangle and is opposite to the right angle.

Answer 18

Thank you!

Answer 19

sure, i am right now on call :P
wait-up!

Answer 20

okay

Answer 21

for H,
3y+x=y+5
2y+x=5 ~ equation(1)
for L,
y-x=x+5
y-2x=5
y=5+2x ~ equation(2)
put this value of y in eqn 1
u get,
2(5+2x)+x = 5
10+4x+x=5
5x=5-10
5x=-5
x=-1
now put this in eqn 2
u get, y=5+2(-1)=5-2=3
Ans. x=-1 & y=3

Answer 22

Oh wait so this is for the first triangle?

Answer 23

this is for both the triangles.
For these triangles to be congruent x should be = -1 and y should be = 3

Answer 24

Oh ok thanks!!

Answer 25

Hypotenuse Leg