Question

The triangles are congruent. Find the length of each hypotenuse.


A.3
B.5
C.17
D.22

Answer 1

http://media.education2020.com/evresources/2092002_2ca25569-748f-4f8b-9c46-2bc50bcff7dd.png

Answer 2

Equate the two equations, solve for x, and substitute x in any hypotenuse equation.

Answer 3

is it B

Answer 4

Did you first figure out y by equating its equations?

Answer 5

no

Answer 6

how will the equation look

Answer 7

First, equate\[y+3\]and\[2y+1\]to solve for y.

Answer 8

i got a decimal

Answer 9

y +3 = 2y +1

y = ? this is an integer

Answer 10

is it 3

Answer 11

y +3 = 2y +1

add -1 to both sides (that means write -1 on both sides)
can you do that ?

Answer 12

yea so it would look like -1y+3=2y+1-1

Answer 13

ok on the right side. on the left side we are "adding" the -1 so it looks like this
y +3-1 = 2y +1 -1

Answer 14

on the right side we can simplify 1-1 to 0
on the left side we simplify 3-1

Answer 15

i dont mean to be rude but if someone may please help me with my question i only have 15 more miutes to answer or i will fail.

Answer 16

you should get
y +2 = 2y

now add -y to both sides

Answer 17

so y+2-y=2y-y right

Answer 18

yes. on the left side you have 1 y and take away 1 y. that means 0 y's on the left side
on the right side you have 2 y's take away 1 y. how many y's on the right side ?

Answer 19

3 right

Answer 20

2 y's take away 1 y is ?

Answer 21

1

Answer 22

not just 1. 1y or y

Answer 23

so
y+2-y=2y-y
becomes

2 = y

which means y is 2

Answer 24

now we use that info to find the hypotenuse.

they tell us both triangles are the same size and shape, so the hypotenuses are equal
in other words
5x+7 = 6x+2y

we can "replace" the y with 2
5x+7 = 6x+2*2
or

5x+7 = 6x+4
I would now add -5x to both sides

Answer 25

ita A 3

Answer 26

they want the length of the hypotenuse (longest side). we know that the short side is y+3 which is 5 (because y is 2)
so we know the hypotenuse has to be bigger than 5 (and so not 3)

Answer 27

oh k so x is 3 thats what i figured out just now

Answer 28

so use x=3 to find the length of the side

Answer 29

ahhh its 22

Answer 30

yes

Answer 31

thanks for all your help

Answer 32

yw