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math_crasher
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Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale. Pls explain to me how to do this. Figure is below
 2 years ago
 2 years ago
math_crasher Group Title
Find the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale. Pls explain to me how to do this. Figure is below
 2 years ago
 2 years ago

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cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
dw:1346866520983:dw
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
the 2 triangles ACD and ABC are similar (same shape  corresponding angles are equal) the property of similar triangles is that corresponding sides are in the same ratio
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
awesome thanks
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
So the length of the altitude would be 147?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
no  i'm a bit confused myself now  not sure if we got enough info to do this
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
hmmm same here
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
I just multiplied 7 and 21 and figured it would be the geometric mean Xd
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
no don't work like that take gig triangle the side opposite the right angle = 28 long right?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
*big triangle ABC
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
now look at small on ABD the side opposite right angle is AC AC is side corresponding to the one 28 long so the ratio is AC  28
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
Ah ok so you added 21 and 7 and that is equals to AC?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
no 21 and 7 = BC
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
the way the triangles are its hard to explain dw:1346867633370:dw
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
That is hard T_T
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
the 2 triangles are similar  the sides are different in length but the angles are same 3 in small trianglee corresponds to 6 in big one and 2 in small triangle corresponds to x in gig one righr?
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
right that means that x= 4 right?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
exactly 3/6 = 2/x so x = 4
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
But what am I trying to solve in the previous triangle?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
you need the height right? thats AD
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
I need the height of the altitude drawn to the hypotenuse
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
yea  thas length of AD  BC is the hypotenuse of the big triangle ABC
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
but we have to find length of AC first because we only know the 2 values 7 and 21.  you'll see why later
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
oh ok so how do I solve for AC?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
by using similar triangle property we already got AC / 28 now look at the 2 triangles ABC and ACD the side CD (=7) in the small triangle is opposite the angle CAD right?
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
dw:1346868513347:dw
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
the 2 angles marked x are equal and the side opposite angle B in big triangle = AC so this means that the side correspond to CD in small triangle is corresponding to AC in big triangle
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
not easy to see this because the way the triangles are related ratio of these sides in small : big = 7 /AC and this equals AC / 28 which we got already
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
so AC 7  =  28 AC cross multiply AC^2 = 7*28 = 196
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
hmmm i see, ok
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
so  the last step! apply pythagoras theorem to triangle ADC: AC^2 = 7^2 + AD^2 196 = 49 + ad^2 AD^2 = 196  49 = 147 AD = square root of 147
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
O.o ok
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
yea  thats a tricky one  you get wingspaneyed figuring out how 2 triangles are related
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
Ah ok i see
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.1
i think i'll take a break  lol!!
 2 years ago

math_crasher Group TitleBest ResponseYou've already chosen the best response.0
dw:1346869580845:dw
 2 years ago
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