wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Which of these set of lengths are not the side lengths of a right triangle: (36,77,85),(20,99,101),(27,120,123) and (24,33,42)?


Open in App
Solution

Step-1: Check whether the set (36,77,85) forms the side of a right triangle:

In a right triangle, side lengths form Pythagorean triplets, i.e., the square of the longest side is equal to the sum of the square of the other two sides.

In (36,77,85), the longest side is 85

852=7225

And 362+772=1296+5929

362+772=7225

362+772=852

Thus, (36,77,85) can be the side lengths of a right triangle.

Step-2: Check whether the set (20,99,101) form the sides of a right triangle:

In (20,99,101), the longest side is 101

1012=10201

And 202+992=400+9801

202+992=10201

202+992=1012

Thus, (20,99,101) can be the side lengths of a right triangle.

Step-3: Check whether the set (27,120,123) form the sides of a right triangle:

In (27,120,123), the longest side is 123

1232=15129

And 272+1202=729+14400

272+1202=15129

272+1202=1232

Thus, (27,120,123) can be the side lengths of a right triangle.

Step-4: Check whether the set (24,33,42) form the sides of a right triangle:

In (24,33,42), the longest side is 42

422=1764

And 242+332=576+1089

242+332=1665

242+332422

Hence, the set of lengths (24,33,42) are not the side lengths of right triangle:


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Triangle Properties
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon