Question

The length of three sides of a triangle are given below. Find which can from

a right triangle.

i) 11cm, 60 cm, 61cm.

ii) 2.1cm, 2.8cm, 3.5cm.
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Answer 1

Step-by-step explanation:

According to Pythagorean Triplet ,

For any 3 Natural Numbers

${m}^{2} + {n}^{2} = {p}^{2}$

i ) 11 cm , 60 cm, 61 cm

= 11^2 + 60^2 = 61^2

121 + 3600 = 3721

So, ( 11, 60, 61 ) is a Pythagorean Triplet ie. it can form a Right Triangle.

ii ) 2.1 cm , 2.8 cm , 3.5 cm

= 2.1^2 + 2.8^2 = 3.5^2

4.41 + 7.84 = 12.25

So, ( 2.1, 2.8, 3.5 ) is a Pythagorean Triplet ie. it can form a Right Triangle.

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Answer 2

According to Pythagorean Triplet ,

For any 3 Natural Numbers

{m}^{2} + {n}^{2} = {p}^{2}m 2n 2 =p 2

i ) 11 cm , 60 cm, 61 cm

= 11^2 + 60^2 = 61^2

121 + 3600 = 3721

So, ( 11, 60, 61 ) is a Pythagorean Triplet ie. it can form a Right Triangle.

ii ) 2.1 cm , 2.8 cm , 3.5 cm

= 2.1^2 + 2.8^2 = 3.5^2

4.41 + 7.84 = 12.25

So, ( 2.1, 2.8, 3.5 ) is a Pythagorean Triplet ie. it can form a Right Triangle.

Hope Helps You

Please mark as the Brainliest !!

shizuka ♥️