In △ A B C , ∠ B = ∠ C and A B = 1.5 ( B C ) . If perimeter of the triangle is 8 cm, then AC is equal to ______cm.
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Answer:
Mid-Point Theorem :
The line segment joining the mid-points of two sides of a triangle is parallel to the third side and equal to half the third side.
On applying the midpoint theorem, we get
DE=
2
AC
=
2
7
=3.5cm
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