मराठी

In a δAbc, If ∠B = ∠C = 45°, Which is the Longest Side?

Advertisements
Advertisements

प्रश्न

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

Advertisements

उत्तर

Given that in ΔABC, 

∠B=∠C=45°  

We have to find longest side
We know that, 

Sum of angles in a triangle=180° 

⇒∠A+∠B+∠C=180° 

⇒∠A+45°+45°=180° 

⇒∠A=180°-(45°+45°)=180°-90°=90° 

∴ ∠A=90° 

  

 

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 12: Congruent Triangles - Exercise 12.6 [पृष्ठ ८१]

APPEARS IN

आर.डी. शर्मा Mathematics [English] Class 9
पाठ 12 Congruent Triangles
Exercise 12.6 | Q 2 | पृष्ठ ८१

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. 

 


In Figure AB = AC and ∠ACD =105°, find ∠BAC.  


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


The vertical angle of an isosceles triangle is 100°. Find its base angles. 


BD and CE are bisectors of ∠B and ∠C of an isosceles ΔABC with AB = AC. Prove that BD = CE. 


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

The bisectors of two equal angles of a triangle are equal 


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

The two altitudes corresponding to two equal sides of a triangle need not be equal. 


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 = .... 


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

 


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. 

 


In the given figure, if AB || DE and BD || FG such that ∠FGH = 125° and ∠B = 55°, find x and y.


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


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


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


The angles of a right angled triangle are


It is given that ∆ABC ≅ ∆FDE and AB = 5 cm, ∠B = 40° and ∠A = 80°. Then which of the following is true?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×