Suleman_Ahmed
Find the value of x on a right triangle when 2 variables are missing and the hypotenuse is 3 square root of 2
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Suleman_Ahmed
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|dw:1359443877815:dw|for a better look at the problem
ajprincess
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|dw:1359444180420:dw|
Since BC=AC and <ACB =90 triangle ABC is an isosceles right angled triangle.
So
<ABC=<BAC=y
y+y+90=180
2y+90=180
2y=180-90
2y=90
y=90/2
y=45
ajprincess
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|dw:1359444336807:dw|
sin45=opp/hyp
1/(sqrt2)=x/(3sqrt2)
Can u find x nw? @Suleman_Ahmed
Suleman_Ahmed
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I'm still confused can you do it step by step and the answer has to be radical form.
ajprincess
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|dw:1359444635517:dw|
Since BC=AC and <ACB =90 triangle ABC is an isosceles right angled triangle.
So
<ABC=<BAC=y
y+y+90=180
2y+90=180
2y=180-90
2y=90
y=90/2
y=45
Do u get until this?
Suleman_Ahmed
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yes
ajprincess
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ok good:)
ajprincess
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Are u familiar with trigonometirc identities like cos, sin, tan etc?
Suleman_Ahmed
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Actually I'm not, sorry.
ajprincess
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k. hw abt pythagoras' theorem?
Suleman_Ahmed
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yes I know that.
ajprincess
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hmm good.:)
so use that to find x. Can u do?
Suleman_Ahmed
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I'm very new to this so i don't think i can.
ajprincess
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Can u plz tell me vat is pythagoras' theorem?
Suleman_Ahmed
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a squared + b squared = c squared
ajprincess
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Nw from ur diagram can u tell me vat is a, b and c?
Suleman_Ahmed
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A=45 B=45 C=90
ajprincess
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|dw:1359445451467:dw|
In ur diagram
a=x, b=x and c=3sqrt2
Following it?
Suleman_Ahmed
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yes now I am
ajprincess
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Nw can u find x using the puthagoras' theorem?
Suleman_Ahmed
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a squared ?
ajprincess
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x^2+x^2=(3sqrt2)^2
Suleman_Ahmed
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okay i understand a little better
ajprincess
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Can u find x nw? @Suleman_Ahmed
Suleman_Ahmed
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nope
ajprincess
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what is x^2+x^2=?
Suleman_Ahmed
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3sqr root 2
ajprincess
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x^2+x^2=2x^2
2x^2=(3sqrt2)^2
(3sqrt2)^2=3^2*(sqrt2)^2
=9*2
Hope that helps.
Suleman_Ahmed
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okay thanks that did