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math_crasher
 2 years ago
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
math_crasher
 2 years ago
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

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cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1the 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

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

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

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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1now 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

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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1the 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?

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

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

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

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

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

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

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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1by 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?

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1the 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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1not 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

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

cwrw238
 2 years ago
Best ResponseYou've already chosen the best response.1so  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

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

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

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