Question

Which of the following can be the sides of a right-angled triangle ?
15cm, 32cm, 57cm
65cm, 72cm, 97cm
20cm, 21cm, 31cm
35cm, 77cm, 88cm​

Answer 1

Step-by-step explanation:

(A) = 15cm, 32cm, 57cm,

Hypotenuse = 57cm

Perpendicular = 32cm

base = 15cm.

⇒ H² = P² + B².

⇒ (57)² = (32)² + (15)².

⇒ 3249 = 1024 + 225.

⇒ 3249 = 1249.

⇒ 3249 ≠ 1249

It is not a right angled triangle.

(B) = 65cm, 72cm, 97cm.

Hypotenuse = 97cm.

Perpendicular = 72cm.

Base = 65cm.

⇒ H² = P²+ B².

⇒ (97)² = (72)² + (65)².

⇒ 9409 = 5184 + 4225.

⇒ 9409 = 9409.

It is a right angled triangle.

(C) = 20cm, 21cm, 31cm.

Hypotenuse = 31cm.

Perpendicular = 21cm.

Base = 20cm.

⇒ H² = P² + B².

⇒ (31)² = (21)² + (20)².

⇒ 961 = 441 + 400.

⇒ 961 = 841.

⇒ 961 ≠ 841.

It is not a right angled triangle.

(D) = 35cm, 77cm, 88cm.

Hypotenuse = 88cm.

Perpendicular = 77cm.

Base = 35cm.

⇒ H² = P² + B².

⇒ (88)² = (77)² + (35)².

⇒ 7744 = 5929 + 1225.

⇒ 7744 = 7154.

⇒ 7744 ≠ 7154.

It is not a right angled triangle.

So, Option B is the correct answer.

Answer 2

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☆Which of the following can be the sides of a right-angled triangle ?

15cm, 32cm, 57cm

65cm, 72cm, 97cm

20cm, 21cm, 31cm

35cm, 77cm, 88cm

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☆(B).65cm,72cm,97cm.

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