मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ८

8, 15, 17 is a Pythagorean triplet - Mathematics

Advertisements
Advertisements

प्रश्न

8, 15, 17 is a Pythagorean triplet

पर्याय

  • True

  • False

MCQ
चूक किंवा बरोबर
Advertisements

उत्तर

True

Explanation;

Hint:

172 = 289

152 = 225

82 = 64

64 + 225 = 289 ⇒ 172 = 152 + 82 

shaalaa.com
Converse of Pythagoras Theorem
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Geometry - Exercise 5.2 [पृष्ठ १७८]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 8 TN Board
पाठ 5 Geometry
Exercise 5.2 | Q 2. (i) | पृष्ठ १७८

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


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 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


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?


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


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


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).


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×