Which of the following can be the sides of a right triangle?

2.5cm, 6.5cm, 6cm

2cm, 2cm ,5cm

1.5cm,2cm,2.5cm

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Solution

For a right angled triangle the sum of the squares of two sides will be the square of the diagonal.

Lets check,
(2.5)²+6²=42.25
6.5²=42.25
Therefore it is right angled triangle

2²+2²≠5²
it's not a right angled triangle

1.5²+2²=2.5²
therefore it is a right angled triangle

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Similar questions

Which of the following can be a right triangle?
(i) $2.5 c m, 6.5 c m, 6 c m$
(ii) $2 c m, 2 c m, 5 c m$
(iii) $1.5 c m, 2 c m, 2.5 c m$

Which of the following can be the sides of a right triangle?

(i) 2.5 cm, 6.5 cm, 6 cm

(ii) 2 cm, 2 cm, 5 cm

(iii) 1.5 cm, 2 cm, 2.5 cm

In the case of right-angled triangles, identify the right angles.

Q. Check whether the following can be the sides of a right triangle?

2.5 c m, 6.5 c m, 6 c m

Question 4 (i)
Which of the following can be the sides of a right triangle?
2.5 cm, 6.5 cm, 6cm
In the case of right angled triangles, identify the right angles.

Q. The sides of a triangle are of length 1.5 cm, 2.5 cm and 2 cm. Then this triangle is a right triangle.

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Which of the following can be the sides of a right triangle? 2.5cm, 6.5cm, 6cm 2cm, 2cm ,5cm 1.5cm,2cm,2.5cm

For a right angled triangle the sum of the squares of two sides will be the square of the diagonal. Lets check, (2.5)²+6²=42.25 6.5²=42.25 Therefore it is right angled triangle 2²+2²≠5² it's not a right angled triangle 1.5²+2²=2.5² therefore it is a right angled triangle

Which of the following can be the sides of a right triangle?

2.5cm, 6.5cm, 6cm

2cm, 2cm ,5cm

1.5cm,2cm,2.5cm

For a right angled triangle the sum of the squares of two sides will be the square of the diagonal.

Lets check,
(2.5)²+6²=42.25
6.5²=42.25
Therefore it is right angled triangle

2²+2²≠5²
it's not a right angled triangle

1.5²+2²=2.5²
therefore it is a right angled triangle