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 ………

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

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

(iv) In a Δ ABC, 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 Δ ABC ≅ Δ …….

Answer 1

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

(ii) Sides opposite to equal angles of a triangle are equal

(iii) In an equilateral triangle all angles are equal

(iv) In a Δ ABC, 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 ABC 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 Δ ABC ≅ ΔEFD