Hello all, the picture i have attached is the question.(adsbygoogle = window.adsbygoogle || []).push({});

http://img842.imageshack.us/img842/8921/geometricproof.png [Broken]

I've concluded that there are two i isosceles triangles in this one triangle.

[tex]\angle[/tex]PSQ + [tex]\angle[/tex]QSR = 90degrees

Finding the angle in one of the isosceles triangles.

[tex]\Delta[/tex]RQS with RQ = SQ

RQ = SQ (given)

If we put a line through the isosceles triangle and call this Z.

RZ = SZ

RZ = SZ (common to both)

therefore: [tex]\Delta[/tex]RZQ =~ [tex]\Delta[/tex]SZQ

therefore: [tex]\Delta[/tex]QRZ = [tex]\Delta[/tex]QSZ

which results in: [tex]\angle[/tex]QRS = [tex]\angle[/tex]QSR

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# Homework Help: Geometric proof.

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