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Fill the blank in the following so that the following statement is true. 

Sides opposite to equal angles of a triangle are ...... 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Fill the blank in the following so that the following statement is true. 

Angle opposite to equal sides of a triangle are ..... 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

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Fill the blank in the following so that the following statement is true. 

In an equilateral triangle all angles are ..... 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Fill the blank in the following so that the following statement is true. 

In a ΔABC if ∠A = ∠C , then AB = ...... 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Fill the blank in the following so that the following statement is true. 

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

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Fill the blank in the following so that the following statement is true. 

In an isosceles triangle ABC with AB = AC, if BD and CE are its altitudes, then BD is …… CE.

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Fill the blank in the following so that the following statement is true. 

In right triangles ABC and DEF, if hypotenuse AB = EF and side AC = DE, then ΔABC ≅ Δ ……

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

In a ΔABC, if ∠B = ∠C = 45°, which is the longest side? 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

In ΔABC, if ∠A = 40° and ∠B = 60°. Determine the longest and shortest sides of the triangle. 

 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

In ΔABC, side AB is produced to D so that BD = BC. If ∠B = 60° and ∠A = 70°, prove that: (i) AD > CD (ii) AD > AC 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Is it possible to draw a triangle with sides of length 2 cm, 3 cm and 7 cm? 

 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

O is any point in the interior of ΔABC. Prove that
(i) AB + AC > OB + OC
(ii) AB + BC + CA > OA + QB + OC 
(iii) OA + OB + OC >` 1/2`(AB + BC + CA) 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Prove that the perimeter of a triangle is greater than the sum of its altitudes. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

In Fig. 10.131, prove that: (i) CD + DA + AB + BC > 2AC (ii) CD + DA + AB > BC  

 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)? 

Sum of the three sides of a triangle is less than the sum of its three altitudes. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)? 

Sum of any two sides of a triangle is greater than twice the median drawn to the third side. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)? 

Sum of any two sides of a triangle is greater than the third side. 

 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)? 

Difference of any two sides of a triangle is equal to the third side. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)? 

If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined

Which of the following statements are true (T) and which are false (F)?  

Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one. 

[8] Lines and Angles
Chapter: [8] Lines and Angles
Concept: undefined >> undefined
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