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Can Someone Please Explain Me In Steps How To Solve For a and b ?
 one year ago
 one year ago
Can Someone Please Explain Me In Steps How To Solve For a and b ?
 one year ago
 one year ago

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Sandiego19Best ResponseYou've already chosen the best response.0
dw:1337230739451:dw
 one year ago

Sandiego19Best ResponseYou've already chosen the best response.0
the numbers are 29, 20, 21
 one year ago

sritamaBest ResponseYou've already chosen the best response.0
is it a right angled triangle ??/
 one year ago

nickymardenBest ResponseYou've already chosen the best response.0
all you have to do is use similarity. see what angles are the same.
 one year ago

nickymardenBest ResponseYou've already chosen the best response.0
and then use proportions. As you can see, the sides 29 and b are proportional, because the hypotenuse of the two similar triangles. same goes ofr the other sides. like this: actually it's 29/b=20/21=21/a for b: 29/b=20/21 b=(20/21)29 for a: 21/a=20/21 a=(20/21)21 get it?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
you have the right idea nickymarden, but you have the wrong values It should be a/20 = 20/21 which after solving for 'a' gives you a = 400/21 and b/20 = 29/21 which gives you b = 580/21
 one year ago

nickymardenBest ResponseYou've already chosen the best response.0
haha, yeah you're right. sorry. it's 2 am here, can't blame me..
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
But I love this way better. I was set to use the pythagorean theorem until you wrote that lol
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
I don't think there is any way to. Is there, Jim?
 one year ago

Sandiego19Best ResponseYou've already chosen the best response.0
SO , A = 400/21 And B = 580/21
 one year ago

nickymardenBest ResponseYou've already chosen the best response.0
yes love, i'm sorry. @jim_thompson5910 is right :)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
what do you mean SmoothMath?
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
I don't think that good ol' Pythag can solve this problem.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
Since we have two right triangles, we can say b^2 + 29^2 = (21+a)^2 and a^2+20^2 = b^2 So we have a system of two equations with 2 unknowns. This means we can solve for a and b.
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
Except that you're assuming this is a right angle, and that is not given: dw:1337232422096:dw
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
Ah, but it can be proven.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
it's not explicit, but the fact that the two triangles are similar allows us to use either method
 one year ago

SmoothMathBest ResponseYou've already chosen the best response.0
But a roundabout way to solve it indeed. Haha, funny that it's the first way you thought of.
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.2
lol just been using it a lot more than the other method I guess
 one year ago
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