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Math Help - Find Length AB

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    Find Length AB

    In ΔABC, mA = 40, mB = 70, and AC = 5 centimeters. Find the
    length of AB in centimeters.
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    Quote Originally Posted by magentarita View Post
    In ΔABC, mA = 40, mB = 70, and AC = 5 centimeters. Find the
    length of AB in centimeters.
    Since m\angle A=40^{\circ}, m \angle B=70^{\circ}, it follows that m\angle C=70^{\circ} since the sum of the measures of the angles of a triangle is 180 degrees.

    If two angles of a triangle are congruent, then the triangle is isosceles.
    If the triangle is isosceles then the sides opposite the congruent angles are congruent.

    \angle B \cong \angle C \rightarrow \overline{AC} \cong \overline{AB}

    AC = AB = 5cm.
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