## triangle

Quadratic equations and inequalities, variation equations, function notation, systems of equations, etc.
Luke53
Posts: 54
Joined: Sun Mar 13, 2011 9:46 am
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### triangle

Prove that a triangle is rectangular when:( x + y) / 17 = (y + z) / 18 = (z + x) / 25, (with x, y and z as the sides of the triangle).
How to ?
Luke.

stapel_eliz
Posts: 1628
Joined: Mon Dec 08, 2008 4:22 pm
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How does your book define "rectangular" for triangles?

Martingale
Posts: 333
Joined: Mon Mar 30, 2009 1:30 pm
Location: USA
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### Re: triangle

Prove that a triangle is rectangular when:( x + y) / 17 = (y + z) / 18 = (z + x) / 25, (with x, y and z as the sides of the triangle).
How to ?
Luke.
Find the values for x,y and z

I get $x=\frac{12}{13}\cdot c,\,\,\,\, y=\frac{5}{13}\cdot c,\,\,\,\, z=c$ for any constant $c$

then show that $x^2+y^2=z^2$

Luke53
Posts: 54
Joined: Sun Mar 13, 2011 9:46 am
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### Re: triangle

door Martingale op wo mei 18, 2011 5:12 am

Luke53 schreef:
Prove that a triangle is rectangular when:( x + y) / 17 = (y + z) / 18 = (z + x) / 25, (with x, y and z as the sides of the triangle).
How to ?
Luke.

Find the values for x,y and z

I get for any constant

then show that

Martingale

Berichten: 363
Geregistreerd op: ma maart 30, 2009 2:30 pm
Woonplaats: USA

OK!
Thats the way to do it. I get the same results setting z = 1 and solve for the two unknows x and y (in function of z)
Never would have thought of this by myself.
Thanks Martingale.
Regards.
Luke.