Maharashtra State Board course SSC (English Medium) Class 10th Board Exam
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Some Question and Their Alternative Answer Are Given. Select the Correct Alternative. Out of the Following Which is the Pythagorean Triplet? - Geometry

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Question

Some question and their alternative answer are given. Select the correct alternative.
 Out of the following which is the Pythagorean triplet?

  • (1, 5, 10)

  • (3, 4, 5)

  • (2, 2, 2)

  • (5, 5, 2)

Solution

(1) (A) In the triplet (1, 5, 10),
12 = 1, 52 = 25, 102 = 100 and 1 + 25 = 26 ≠ 100

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (1, 5, 10) is not a pythagorean triplet.

(B) In the triplet (3, 4, 5),
32 = 9, 42 = 16, 52 = 25 and 9 + 16 = 25

The square of the largest number is equal to the sum of the squares of the other two numbers.

∴ (3, 4, 5) is a pythagorean triplet.

(C) In the triplet (2, 2, 2),
22 = 4, 22 = 4, 22 = 4 and 4 + 4 = 8 ≠ 4

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (2, 2, 2) is not a pythagorean triplet.

(D) In the triplet (5, 5, 2),
22 = 4, 52 = 25, 52 = 25 and 4 + 25 = 29 ≠ 25

The square of the largest number is not equal to the sum of the squares of the other two numbers.

∴ (5, 5, 2) is not a pythagorean triplet.

Hence, the correct option is (3, 4, 5).

  Is there an error in this question or solution?

APPEARS IN

 Balbharati Solution for Balbharati Class 10 Mathematics 2 Geometry (2018 to Current)
Chapter 2: Pythagoras Theorem
Problem Set 2 | Q: 1.1 | Page no. 43
Solution Some Question and Their Alternative Answer Are Given. Select the Correct Alternative. Out of the Following Which is the Pythagorean Triplet? Concept: Apollonius Theorem.
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