मराठी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • 4 cm

  • 5 cm

  • 2 cm

  • 2.5 cm

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

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

Explanation:

Given, ∆PQR such that ∠R = ∠P, QR = 4 cm and PR = 5 cm

In ∆PQR, ∠R = ∠P

⇒ PQ = QR  ...[Sides opposite to equal angles are equal]

⇒ PQ = 4 cm  ...[∵ QR = 4 cm]

Hence, the length of PQ is 4 cm.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 7: Triangles - Exercise 7.1 [पृष्ठ ६४]

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

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

 


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


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 a ΔABC, it is given that AB = AC and the bisectors of ∠B and ∠C intersect at O. If M is a point on BO produced, prove that ∠MOC = ∠ABC. 


ABC is a triangle in which ∠B = 2 ∠C. D is a point on BC such that AD bisects ∠BAC and AB = CD.
Prove that ∠BAC = 72°. 


In a ΔPQR, if PQ = QR and L, M and N are the mid-points of the sides PQ, QR and RP
respectively. Prove that LN = MN. 

 


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

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


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 twice the median drawn to 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. 


In the given figure, the sides BC, CA and AB of a Δ ABC have been produced to D, E and F respectively. If ∠ACD = 105° and ∠EAF = 45°, find all the angles of the Δ ABC.


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


The base BC of triangle ABC is produced both ways and the measure of exterior angles formed are 94° and 126°. Then, ∠BAC =


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


D is a point on the side BC of a ∆ABC such that AD bisects ∠BAC. Then ______.


Is it possible to construct a triangle with lengths of its sides as 9 cm, 7 cm and 17 cm? Give reason for your answer.


CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×