1 Mark Question

Question 11 Mark

Find the Pythagorean triplets from among the following sets of numbers : 4,7,8

Answer

4² = 16, 7² = 49, 8² = 64
But, 16 + 49 ≠ 64
∴ 4² + 7² ≠ 8²
∴ 4, 7 and 8 is not a Pythagorean triplet.

Question 21 Mark

Find the Pythagorean triplets from among the following sets of numbers : 9,40,41

Answer

9² = 81, 40² = 1600,41² = 1681
Now, 81 + 1600 = 1681
∴ 9² + 40² = 41²
∴ 9,40 and 41 is a Pythagorean triplet

Question 31 Mark

Find the Pythagorean triplets from among the following sets of numbers : 2,6,7

Answer

2² = 4, 6² = 36, 7² = 49But, 4 + 36 ≠ 49
∴ 2² + 6² ≠ 7²
∴ 2, 6 and 7 is not a Pythagorean triplet.

Question 41 Mark

Find the Pythagorean triplets from among the following sets of numbers : 4,5,6

Answer

4² = 16, 5² = 25, 6² = 36
But 16 + 25 ≠ 36
∴ 4² + 5² ≠ 6²
∴ 4, 5 and 6 is not a Pythagorean triplet.

Question 51 Mark

Find the Pythagorean triplets from among the following sets of numbers : 2,4,5

Answer

2² = 4, 4² = 16, 5² = 25
But, 4 + 16 ≠ 25
∴ 2² + 4² ≠ 5²
∴ 2, 4 and 5 is not a Pythagorean triplet.

Question 61 Mark

Find the Pythagorean triplets from among the following sets of numbers : 3,4,5

Answer

3² = 9,4² = 16, 5² = 25
Now, 9 + 16 = 25
∴ 3² + 42 = 5²
∴ 3, 4 and 5 is a Pythagorean triplet.

Question 71 Mark

Write the name of the hypotenuse of each of the right angled triangles shown below.

The hypotenuse of ∆ABC is__

ii.

The hypotenuse of ∆LMN is__

iii.

The hypotenuse of ∆XYZ is__

Answer

i. AC
ii. MN
iii. XZ

Maths 1 Mark Question