Fill the blanks In the following so that each of the following statements is true.
(i) Sides opposite to equal angles of a triangle are ___
(ii) Angle opposite to equal sides of a triangle are ___
(iii) In an equilateral triangle all angles are ___
(iv) In ΔABC, if ∠A = ∠C, then AB =
(v) If altitudes CE and BF of a triangle ABC are equal, then AB ___
(vi) In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is ___ CE.
(vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC ≅ Δ ___
(i) Sides opposite to equal angles of a triangle are equal
(ii) Angles opposite to equal sides of a triangle are equal
(iii) In an equilateral triangle all angles are equal Reason: Since all sides are equal in a equilateral triangle. the angles opposite to equal sides will be equal .
(iv) In a ΔABC, if ∠A = ∠C, then AB = BC
(v) If altitudes CE and BF of a triangle ABC are equal, then AB = AC
(vi) In an isosceles triangle ΔABC with AB = AC, if BD and CE are its altitudes, then BD is equal to CE
(vii) In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then, ΔABC = ΔEFD
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