Question

The figure below shows the cross section of the scale model of a roof of a house.

What is the length of the height RS of the roof rounded to the nearest tenth?

12
7.5
5.6
10
I got 7.5 am i right?

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0300_Subtest_05_19/image0034e1c8c4f.jpg

Answer 2

i got 12
do you want the work?

Answer 3

Hint: Pythagoras triplet.;;)

Answer 4

@imstandingherealone I also got 12, check again:)

Answer 5

Oh must of done something wrong! I'm so bad with math. Thank you :)

Answer 6

what triangles u considered for similarity

Answer 7

@imstandingherealone try again, we all make mistakes :D
use pythagoras for three different triangles, play with equations and you'll get the answer. Let me know if you get stuck anywhere :)

Answer 8

you have three rectangle triangles!
do as @Champs and @ash2326 have told you
it is not too long

Answer 9

Using the pythagorean theorem 3 different times is easier than using similar triangles, I think. First, I'd label the sides

Big triangle:
x^2+y^2 = 25^2
Small triangle on right:
x^2+h^2 = 9^2
Small triangle on left:
y^2+h^2 = 14^2

Answer 10

Oops. Correction:
Small triangle on right:
9^2 + h^2 = x^2
Small triangle on left:
h^2 + 14^2 = y^2

Answer 11

@SmoothMath the 14 is actually 16

Answer 12

Haha also a good point. My degree is in math, not arithmetic ;)

Answer 13

So the three equations to use are
x^2 + y^2 = 25^2
9^2 + h^2 = x^2
h^2 + 16^2 = y^2

And Helder, I'd just point out that answers without explanations are worthless. So don't give them.

Answer 14

@helder_edwin did you understand?