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Fill the Blanks in the Following So that Each of the Following Statements is True. Angle Opposite to Equal Sides of a Triangle Are ..... - Mathematics

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प्रश्न

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

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

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उत्तर

Angles opposite to equal sides of a triangle are equal  

 

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पाठ 12: Congruent Triangles - Exercise 12.5 [पृष्ठ ६२]

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आरडी शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.5 | Q 6.2 | पृष्ठ ६२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

ΔABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that ∠BCD is a right angle.


In a ΔABC, if ∠A=l20° and AB = AC. Find ∠B and ∠C. 

 


Find the measure of each exterior angle of an equilateral triangle. 


Two lines AB and CD intersect at O such that BC is equal and parallel to AD. Prove that the lines AB and CD bisect at O.


In an isosceles triangle, if the vertex angle is twice the sum of the base angles, calculate the angles of the triangle. 


ABC is a triangle and D is the mid-point of BC. The perpendiculars from D to AB and AC are equal. Prove that the triangle is isosceles. 


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

Sides opposite to equal angles of a triangle may be unequal 


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

Angles opposite to equal sides of a triangle are equal 


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

If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.  


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.


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. 


If the angles A, B and C of ΔABC satisfy the relation B − A = C − B, then find the measure of ∠B.


In the given figure, for which value of x is l1 || l2?


In a ΔABC, ∠A = 50° and BC is produced to a point D. If the bisectors of ∠ABC and ∠ACDmeet at E, then ∠E =


In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.


In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______.


Two sides of a triangle are of lengths 5 cm and 1.5 cm. The length of the third side of the triangle cannot be ______.


AD is a median of the triangle ABC. Is it true that AB + BC + CA > 2AD? Give reason for your answer.


Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.


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