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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

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


If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other. 


If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosceles.  


PQR is a triangle in which PQ = PR and S is any point on the side PQ. Through S, a line is drawn parallel to QR and intersecting PR at T. Prove that PS = PT.  

 


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 = .... 


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) 


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. 


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. 

 


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. 


Fill in the blank to make the following statement true.  

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


If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.


In a triangle ABC, if AB =  AC and AB is produced to D such that BD =  BC, find ∠ACD: ∠ADC.


Line segments AB and CD intersect at O such that AC || DB. If ∠CAB = 45° and ∠CDB = 55°, then ∠BOD =


In the given figure, the value of x is ______.


In the given figure, if BP || CQ and AC = BC, then the measure of x is


If the bisectors of the acute angles of a right triangle meet at O, then the angle at Obetween the two bisectors is


In the given figure, if l1 || l2, the value of x is


In ∆PQR, if ∠R > ∠Q, then ______.


In a triangle ABC, D is the mid-point of side AC such that BD = `1/2` AC. Show that ∠ABC is a right angle.


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