हिंदी

Sides of the Triangle Are 7 Cm, 24 Cm, and 25 Cm. Determine Whether the Triangle is a Right-angled Triangle Or Not. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

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

योग

उत्तर

The longest side is 25 cm. 

∴ (25)2 = 625                                                          ....(i)

  Now, sum of the squares of the other two sides will be 

(7)2 + (24)2 = 49 + 576

                   = 625                                                   ....(ii)

∴ (25)2 = (7)2 + (24)2                                                  .....[ From (i) and (ii)]

Yes, the given sides form a right angled triangle .  ......[By converse of pythagoras theorem]

shaalaa.com
Converse of Pythagoras Theorem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
2013-2014 (October)

APPEARS IN

संबंधित प्रश्न

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


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 


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


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


8, 15, 17 is a Pythagorean triplet


The incentre is equidistant from all the vertices of a triangle


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


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?


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 the length of diagonal of square is √2, then what is the length of each side?


Choose the correct alternative:

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


Choose the correct alternative:

In ∆ABC, AB = `6sqrt(3)` cm, AC = 12 cm, and BC = 6 cm, then m∠A = ?


If a triangle having sides 50 cm, 14 cm and 48 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×