हिंदी

Identify, with Reason, If the Following is a Pythagorean Triplet. - Geometry Mathematics 2

Advertisements
Advertisements

प्रश्न

Identify, with reason, if the following is a Pythagorean triplet.
(4, 9, 12)

योग

उत्तर

In the triplet (4, 9, 12),
42 = 16, 92 = 81, 122 = 144 and 16 + 81 = 97 ≠ 144
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (4, 9, 12) is not a pythagorean triplet.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Pythagoras Theorem - Practice Set 2.1 [पृष्ठ ३८]

APPEARS IN

बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
अध्याय 2 Pythagoras Theorem
Practice Set 2.1 | Q 1.2 | पृष्ठ ३८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

From a point O in the interior of a ∆ABC, perpendicular OD, OE and OF are drawn to the sides BC, CA and AB respectively. Prove
that :

`(i) AF^2 + BD^2 + CE^2 = OA^2 + OB^2 + OC^2 – OD^2 – OE^2 – OF^2`

`(ii) AF^2 + BD^2 + CE^2 = AE^2 + CD^2 + BF^2`


In a ∆ABC, AD ⊥ BC and AD2 = BC × CD. Prove ∆ABC is a right triangle


Sides of triangle are given below. Determine it is a right triangle or not? In case of a right triangle, write the length of its hypotenuse. 50 cm, 80 cm, 100 cm

 


 
 

In an equilateral triangle ABC, D is a point on side BC such that BD = `1/3BC` . Prove that 9 AD2 = 7 AB2

 
 

In the given figure, ABC is a triangle in which ∠ABC < 90° and AD ⊥ BC. Prove that AC2 = AB2 + BC2 − 2BC.BD.


A 15 m long ladder reached a window 12 m high from the ground on placing it against a wall at a distance a. Find the distance of the foot of the ladder from the wall.


Which of the following can be the sides of a right triangle?

1.5 cm, 2 cm, 2.5 cm

In the case of right-angled triangles, identify the right angles.


The perimeter of a triangle with vertices (0, 4), (0, 0) and (3, 0) is

(A)\[7 + \sqrt{5}\]
(B) 5
(C) 10
(D) 12


Identify, with reason, if the following is a Pythagorean triplet.
(24, 70, 74)


Find the side and perimeter of a square whose diagonal is 10 cm.


Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.


In triangle ABC, given below, AB = 8 cm, BC = 6 cm and AC = 3 cm. Calculate the length of OC.



If P and Q are the points on side CA and CB respectively of ΔABC, right angled at C, prove that (AQ2 + BP2) = (AB2 + PQ2)


Find the length of diagonal of the square whose side is 8 cm.


In triangle PQR, angle Q = 90°, find: PR, if PQ = 8 cm and QR = 6 cm


In an equilateral triangle ABC, the side BC is trisected at D. Prove that 9 AD2 = 7 AB2.


In a triangle ABC, AC > AB, D is the midpoint BC, and AE ⊥ BC. Prove that: AC2 - AB2 = 2BC x ED


The hypotenuse of a right angled triangle of sides 12 cm and 16 cm is __________


In the figure, find AR


Two squares are congruent, if they have same ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×