Question

Find the value of x.

a.22.0
b.44.8
c.17.5
d.37.5
https://rialto5819-ehs-pps.gradpoint.com/Resource/2146263,72F,0,0,0,0,0/Assets/testitemimages/geometry_a/similarity/mc100-1.jpg

Answer 1

To do this, you would want to do the pythagoream theorm. Do you know how to do the pythagoream theorm?

Answer 2

a2+b2=c2

Answer 3

Good. So if you think about it, you want to do the pythagoream theorm on the left triangle. After doing that, you would want to perform pythagoream theorm, except this time on the right triangle.
Make sense?

Answer 4

yes thanks

Answer 5

Alright. Do you want me to check if your answer is right?

Answer 6

\[2\sqrt{89}\]

Answer 7

That's your final answer?

Answer 8

If so, then I don't think that's the answer.

Answer 9

i dont know what it is @GoldPhenoix

Answer 10

thats what i got the first time

Answer 11

What did you get for the left triangle?

Answer 12

\[2\sqrt{89}\]

Answer 13

Lets do it step by step.
You plug it in to get: \[\large \large 10^2 + b^2 = 16^2\] Correct?

Answer 14

2sq.root 39

Answer 15

?

Answer 16

\[2\sqrt{39} is what i got\]

Answer 17

Did you do 10^2 + b^2 = 16^2 ?

Answer 18

yes

Answer 19

Okay. So you simplify it to get: \[\large \large 100 + b^2 = 256\] Correct so far?

Answer 20

yes

Answer 21

\[\large \large b^2 = 156\] Correct so far?

Answer 22

yes

Answer 23

Now you square root it, right?

Answer 24

yep

Answer 25

Now what do you end up with after square rooting?

Answer 26

i got \[2\sqrt{39}\]

Answer 27

In standard form please.

Answer 28

i dont know

Answer 29

what that means or how to do that

Answer 30

Use a calculator.

Answer 31

i am and thats what it gave me

Answer 32

Press the square root button and then 156.

Answer 33

12.4

Answer 34

Good. Around 12.
Now do the pythagoream on the right triangle.

Answer 35

30.4

Answer 36

\[4\sqrt{58}\]

Answer 37

It's not even close to 30.4.

Do you got: \[\large \large b^2 = 640\]

Answer 38

25.2

Answer 39

Good. That's around a. 22.0. :)
I hope this help.
If your thinking why you didn't get the exact answer, well it's because we rounded it. :)

Answer 40

thank you

Answer 41

Sorry that it took too long. >_>

Answer 42

@knowel
@GoldPhenoix

I got a difference answer. Please check my work.

The given triangle is not a right triangle.

Use the Triangle Angle Bisector Theorem

Triangle Bisector Theorem: If a ray bisects an angle of a triangle, then it divides the opposite side into segments that are proportional to the sides that formed the angle.

Answer 43

Ohh. My bad. >_<

Answer 44

10 is to x as 16 is to 28

10/x = 16/28

16x = 280

x = 35/2 = 17.5 --> c.17.5