मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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

Advertisements
Advertisements

प्रश्न

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

पर्याय

  • 2

  • 13

  • 5

  • 16

MCQ
Advertisements

उत्तर

16

Explanation:


Let ABCD be the given rectangle.

AC = 20 units and BC = 12 units

In ∆ABC,

∠B = 90°

∴ AC2 = AB2 + BC2    ...[Pythagoras theorem]

∴ 202 = AB2 + 122

∴ 400 = AB2 + 144

∴ AB2 = 256

∴ AB = 16 units

shaalaa.com
Converse of Pythagoras Theorem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 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


5 m long ladder is placed leaning towards a vertical wall such that it reaches the wall at a point 4 m high. If the foot of the ladder is moved 1.6 m towards the wall, then find the distance by which the top of the ladder would slide upwards on the wall.


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 


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?


If the sides of a triangle are in the ratio 5 : 12 : 13 then, it is ________


8, 15, 17 is a Pythagorean triplet


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

24, 45, 51


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


If the length of diagonal of square is `sqrt(2)`, then what is the length of each side?


If a triangle having sides 8 cm, 15 cm and 17 cm, then state whether given triangle is right angled triangle or not


A rectangle having dimensions 35 m × 12 m, then what is the length of its diagonal?


In ∆LMN, l = 5, m = 13, n = 12 then complete the activity to show that whether the given triangle is right angled triangle or not.

*(l, m, n are opposite sides of ∠L, ∠M, ∠N respectively)

Activity: In ∆LMN, l = 5, m = 13, n = `square`

∴ l2 = `square`, m2 = 169, n2 = 144.

∴ l2 + n2 = 25 + 144 = `square`

∴ `square` + l2 = m2

∴ By Converse of Pythagoras theorem, ∆LMN is right angled triangle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×