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Math Help - figure out isosceles triangles angles

  1. #1
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    Question figure out isosceles triangles angles

    Can someone please help me out with this problem?

    In isosceles triangle abc, angle A =40 , AD is median, and CM and BP are leg altitudes.
    I figured that angles B and C are 70, M and P would be 70 and D is 90. Is this right and where do I go from here?
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  2. #2
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    Quote Originally Posted by sanee66 View Post
    Can someone please help me out with this problem?

    In isosceles triangle abc, angle A =40 , AD is median, and CM and BP are leg altitudes.
    I figured that angles B and C are 70, M and P would be 70 and D is 90. Is this right and where do I go from here?
    Hello,

    I assume that the the lower case letters indicate the angles and that you want to know the values of these angles. Right?

    1. \angle{a} = \angle{b} = 20^\circ  Symmetry property
    2. \angle{d} = 20^\circ  Use the right triangle BCP to calculate the angle.
    3. \angle{d} = \angle{f} = 20^\circ  Symmetry property
    4. \angle{c} = \angle{e} = 50^\circ  Use the result of 3.: You already know that c + d = 70 and you know the angle d
    5. \angle{m} = \angle{n} = 40^\circ
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