हिंदी
तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा ८

Check whether given sides are the sides of right-angled triangles, using Pythagoras theorem 24, 45, 51 - Mathematics

Advertisements
Advertisements

प्रश्न

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

24, 45, 51

योग
Advertisements

उत्तर

Take a = 24, b = 45 and c = 51

Now a2 + b2 = 242 + 452

= 576 + 2025

= 2601

c2 = 512 = 2601

∴ a2 + b2 = c2

Yes, By the converse of Pyhtagoreas theorem, the triangle with given measure is a right angled triangle.

shaalaa.com
Converse of Pythagoras Theorem
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Geometry - Exercise 5.2 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 8 TN Board
अध्याय 5 Geometry
Exercise 5.2 | Q 3. (v) | पृष्ठ १७८

संबंधित प्रश्न

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


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


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:

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


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.


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×