English
Maharashtra State BoardSSC (English Medium) 10th Standard

Identify, with Reason, If the Following is a Pythagorean Triplet.

Advertisements
Advertisements

Question

Identify, with reason, if the following is a Pythagorean triplet.
(10, 24, 27)

Sum
Advertisements

Solution

In the triplet (10, 24, 27),
102 = 100, 242 = 576, 272 = 729 and 100 + 576 = 676 ≠ 729
The square of the largest number is not equal to the sum of the squares of the other two numbers.
∴ (10, 24, 27) is not a pythagorean triplet.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Pythagoras Theorem - Practice Set 2.1 [Page 38]

APPEARS IN

Balbharati Geometry Mathematics 2 [English] Standard 10 Maharashtra State Board
Chapter 2 Pythagoras Theorem
Practice Set 2.1 | Q 1.5 | Page 38

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

If ABC is an equilateral triangle of side a, prove that its altitude = ` \frac { \sqrt { 3 } }{ 2 } a`


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 Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that AB2 = BC × BD


In Figure ABD is a triangle right angled at A and AC ⊥ BD. Show that AC2 = BC × DC


Tick the correct answer and justify: In ΔABC, AB = `6sqrt3` cm, AC = 12 cm and BC = 6 cm.

The angle B is:


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


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


For finding AB and BC with the help of information given in the figure, complete following activity.

AB = BC ..........

∴ ∠BAC =

∴ AB = BC = × AC

                 = × `sqrt8`

                 = × `2sqrt2`

                 =


In ∆ABC, AB = 10, AC = 7, BC = 9, then find the length of the median drawn from point C to side AB.


In right angle ΔABC, if ∠B = 90°, AB = 6, BC = 8, then find AC.


The given figure shows a quadrilateral ABCD in which AD = 13 cm, DC = 12 cm, BC = 3 cm and ∠ABD = ∠BCD = 90o. Calculate the length of AB.


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)


In the given figure, angle BAC = 90°, AC = 400 m, and AB = 300 m. Find the length of BC.


Find the length of the perpendicular of a triangle whose base is 5cm and the hypotenuse is 13cm. Also, find its area.


The foot of a ladder is 6m away from a wall and its top reaches a window 8m above the ground. If the ladder is shifted in such a way that its foot is 8m away from the wall to what height does its tip reach?


Two poles of height 9m and 14m stand on a plane ground. If the distance between their 12m, find the distance between their tops.


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


In a triangle ABC right angled at C, P and Q are points of sides CA and CB respectively, which divide these sides the ratio 2 : 1.
Prove that: 9AQ2 = 9AC2 + 4BC2 


A man goes 18 m due east and then 24 m due north. Find the distance of his current position from the starting point?


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×