Question

Someone Please help me solve this http://gyazo.com/643a829576084c0c2897f34c90175c07

Answer 1

Do you know what's soh cah toa?

Answer 2

yes but im still running into a problem somewhere, im so confused and have been trying to solve this one question for like an hour, please help me!

Answer 3

notice that the two triangles are similar, so you can set up ratio = ratio
short leg/ long leg = short leg/ long leg

Answer 4

can you write down the proportion ?

Answer 5

is it 12?

Answer 6

the big triangle has sides 12 times bigger than the smaller triangle
(because 7*12 = 84... and you know the triangles are similar ... they have equal angles)

that means you know the x side of the small triangle times 12 equals the 156-x leg of the big triangle.

can you write down the equation ?

Answer 7

i think i've solved that so far, i came up with 12*

Answer 8

does ac = 228?

Answer 9

12x= 156-x
add x to both sides
12x + x = 156 - x + x

12 x's plus 1 more x is 13 x's
13 x = 156 -x + x
-x + x is 0

13 x= 156
divide both sides by 13 to solve:
13x/13 = 156/13

13/13 = 1 so 13x/13 is the same as x*1= x
x= 156/13

Answer 10

@phi ya left me hangin! is AC = 228?

Answer 11

AC is 156 - x

what is x ?

Answer 12

oohh! lol okay, i was finding the hypotenuse.. Thank you for all the help!

Answer 13

how triangles are similar ,explain
only one angle is equal

Answer 14

@surjithayer the angles at point C are marked to show they are congruent. Also, the right angles are congruent.