हिंदी

Choose the correct alternative: In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse? - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

In right angled triangle, if sum of the squares of the sides of right angle is 169, then what is the length of the hypotenuse?

विकल्प

  • 15

  • 13

  • 5

  • 12

MCQ
Advertisements

उत्तर

13

In ∆PQR,

∠Q = 90°

∴ PR2 = PQ2 + QR2    ...[Pythagoras theorem]

∴ PR2 = 169               ...[Given]

∴ PR = `sqrt(169)`

Taking square root both the sides,

∴ PR = 13

shaalaa.com
Converse of Pythagoras Theorem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Pythagoras Theorem - Q.1 (A)

संबंधित प्रश्न

In ∆PQR, PQ = √8 , QR = √5 , PR = √3. Is ∆PQR a right-angled triangle? If yes, which angle is of 90°?


Sides of the triangle are 7 cm, 24 cm, and 25 cm. Determine whether the triangle is a right-angled triangle or not. 


In the rectangle WXYZ, XY + YZ = 17 cm, and XZ + YW = 26 cm. Calculate the length and breadth of the rectangle?


The hypotenuse of a right triangle is 6 m more than twice of the shortest side. If the third side is 2 m less than the hypotenuse, find the sides of the triangle


In the adjacent figure, ABC is a right angled triangle with right angle at B and points D, E trisect BC. Prove that 8AE2 = 3AC2 + 5AD2 


If in ∆ABC, DE || BC. AB = 3.6 cm, AC = 2.4 cm and AD = 2.1 cm then the length of AE is


In a ∆ABC, AD is the bisector of ∠BAC. If AB = 8 cm, BD = 6 cm and DC = 3 cm. The length of the side AC is


Two poles of heights 6 m and 11 m stand vertically on a plane ground. If the distance between their feet is 12 m, what is the distance between their tops?


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

8, 15, 17


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

12, 13, 15


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

30, 40, 50


Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem

9, 40, 41


The area of a rectangle of length 21 cm and diagonal 29 cm is __________


Choose the correct alternative:

A rectangle having length of a side is 12 and length of diagonal is 20, then what is length of other side?


Choose the correct alternative:

If length of both diagonals of rhombus are 60 and 80, then what is the length of side?


If a triangle having sides 50 cm, 14 cm and 48 cm, then state whether given triangle is right angled triangle or not


In ΔABC, AB = 9 cm, BC = 40 cm, AC = 41 cm. State whether ΔABC is a right-angled triangle or not. Write reason.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×