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.
(3, 5, 4)

योग
Advertisements

उत्तर

 In the triplet (3, 5, 4),
32 = 9, 52 = 25, 42 = 16 and 9 + 16 = 25
The square of the largest number is equal to the sum of the squares of the other two numbers.
∴ (3, 5, 4) is 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 Mathematics 2 [English] Standard 10 Maharashtra State Board
अध्याय 2 Pythagoras Theorem
Practice Set 2.1 | Q 1.1 | पृष्ठ ३८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

Two towers of heights 10 m and 30 m stand on a plane ground. If the distance between their feet is 15 m, find the distance between their tops


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 the given figure, point T is in the interior of rectangle PQRS, Prove that, TS+ TQ= TP+ TR(As shown in the figure, draw seg AB || side SR and A-T-B)


In an isosceles triangle, length of the congruent sides is 13 cm and its base is 10 cm. Find the distance between the vertex opposite the base and the centroid.


In the figure: ∠PSQ = 90o, PQ = 10 cm, QS = 6 cm and RQ = 9 cm. Calculate the length of PR.


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



In the following figure, AD is perpendicular to BC and D divides BC in the ratio 1: 3.

Prove that : 2AC2 = 2AB2 + BC2


If the angles of a triangle are 30°, 60°, and 90°, then shown that the side opposite to 30° is half of the hypotenuse, and the side opposite to 60° is `sqrt(3)/2` times of the hypotenuse.


Find the Pythagorean triplet from among the following set of numbers.

2, 4, 5


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


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


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 : 9(AQ2 + BP2) = 13AB2 


In the given figure. PQ = PS, P =R = 90°. RS = 20 cm and QR = 21 cm. Find the length of PQ correct to two decimal places.


In a right angled triangle, the hypotenuse is the greatest side


Find the unknown side in the following triangles


In ∆PQR, PD ⊥ QR such that D lies on QR. If PQ = a, PR = b, QD = c and DR = d, prove that (a + b)(a – b) = (c + d)(c – d).


In an equilateral triangle PQR, prove that PS2 = 3(QS)2.


Jiya walks 6 km due east and then 8 km due north. How far is she from her starting place?


Two poles of 10 m and 15 m stand upright on a plane ground. If the distance between the tops is 13 m, find the distance between their feet.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×