Fill the blanks In the following so that each of the following statements is true.
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