Question 56

Fill in the blanks to make the statement true.

In an isosceles triangle, angles opposite to equal sides are ___

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Solution

In an isosceles triangle, angles opposite to equal sides are equal. Since, if two angles are equal then the sides opposite to them are also equal.

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Question 55

Fill in the blanks to make the statement true.

In an isosceles triangle, two angles are always ___

In an isosceles triangle, the angles opposite to the equal sides are not equal.

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 $Δ A B C i f ∠ A = ∠ C, t h e n A B =$ ___

(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 $Δ A B C ≅ Δ$ ___

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