Question

Fill in 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 a $\Delta ABCif\angle A=\angle C,thenAB=$___

(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 $\Delta ABC\cong \Delta$___

Answer 1

(i) Sides opposite to equal angles of a triangle are equal.

(ii) Angle opposite to equal sides of a triangles are equal.

(iii) In an equilateral triangle all angles are equal.

(iv) In a $\Delta ABC,$ if $\angle A=\angle C,$ then AB=BC

(v) If altitudes CE and BF of a triangle ABC are equal, then AB = AC.

(vi) In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is equal to CE.

(vii) In right triangles ABC and DEF, is hypotenuse AB = EF and side AC = DE, then $\Delta ABC$ $\cong$ $\Delta$ EFD.