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On number 5, I have been able to prove the => for all three of them, but I am struggling with the <= for (i) and (ii). Any hints on where to start?-Lauren | On number 5, I have been able to prove the => for all three of them, but I am struggling with the <= for (i) and (ii). Any hints on where to start?-Lauren | ||
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| + | Lauren, for (i)<= use the fact that altitudes are perpendicular so we have right triangles. They have an equal leg (the base of the big triangle) and the hypotenuse of both are equal (given-they are the two altitudes). Now use Theorem 9 to prove conguent triangles and then the base angles of the big triangle are equal-then use theorem 5. Hope this helps. ~Janelle | ||
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| + | Lauren, I am having trouble with the <= for (iii) could you help me out there? ~Janelle | ||
for ii <=, can we do theorem 21? we know some equal angles. This would make for some equal sides if the sines are equal and than work around that? - Sue | for ii <=, can we do theorem 21? we know some equal angles. This would make for some equal sides if the sines are equal and than work around that? - Sue | ||
Revision as of 10:46, 29 September 2009
On number 5, I have been able to prove the => for all three of them, but I am struggling with the <= for (i) and (ii). Any hints on where to start?-Lauren
Lauren, for (i)<= use the fact that altitudes are perpendicular so we have right triangles. They have an equal leg (the base of the big triangle) and the hypotenuse of both are equal (given-they are the two altitudes). Now use Theorem 9 to prove conguent triangles and then the base angles of the big triangle are equal-then use theorem 5. Hope this helps. ~Janelle
Lauren, I am having trouble with the <= for (iii) could you help me out there? ~Janelle
for ii <=, can we do theorem 21? we know some equal angles. This would make for some equal sides if the sines are equal and than work around that? - Sue
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