हिंदी

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 - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

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.

योग

उत्तर

In ∆LMN,

l = 5, m = 13, n = 12

∴ l2 = 25, m2 = 169, n2 = 144.

∴ l2 + n2 = 25 + 144 = 169

n2 + l2 = m2 

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

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

संबंधित प्रश्न

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


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?


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

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


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


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 the given figure, triangle PQR is right-angled at Q. S is the mid-point of side QR. Prove that QR2 = 4(PS2 – PQ2).


In a right angled triangle, right-angled at B, lengths of sides AB and AC are 5 cm and 13 cm, respectively. What will be the length of side BC?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×