Question

WILL GIVE MEDAL!! A flight of stairs is supported by two columns as shown. What is the distance from the base of the stairs to the tallest column?

Answer 1

A) 6 feet
B) 8 feet
C) 12 feet
D) 16 feet
E) 20 feet

Answer 2

@SolomonZelman can you please help me? (:

Answer 3

the height of the big triangle that's what you need to find, right ?

Answer 4

yes, where the question mark is

Answer 5

ok, so you can already see that the small triangle (the one with sides 4 and 6), is proportional to the large triangle (to the entire shape) .

the proportion is 6 to (6+12) or
6:18 which is 1:3. saying that every side of the large triangle is 3 times bigger than the side of the small triangle.

So knowing that the base of the small triangle is 4, what is the entire base ?

after you find the entire base, use

\(\Huge\color{red}{ \rm c^{2}- a^{2}=b^{2}. }\)

Answer 6

thank you so much!!

Answer 7

you welcome, just to verify, please tell me what you get when you find the answer.

Answer 8

is the right answer 8?

Answer 9

\(\LARGE\color{blue}{ \bf 18^{2}-12^{2}=h^{2} }\)

\(\LARGE\color{blue}{ \bf 324-144=h^{2} }\)

\(\LARGE\color{blue}{ \bf 180=h^{2} }\)

\(\LARGE\color{blue}{ \bf h=6\sqrt{5} }\)

Answer 10

so whats the answer helpppp

Answer 11

Please, give me the answer. I need to get out of here. Geometry isnt for me. it's not safe here. I'll be back, Tell mom and dad I love them if I don't return. Go to my room, under the floor board thats creeky, you'll find $3,000 it's all the moeny i have saved up from the years. spend it wisely. I'll get us out of here.