Question

The sides of some triangles are given below. Find out which ones are right-angled triangles? 

i. 8, 15, 17 

ii. 11, 12, 15 

iii. 11, 60, 61 

iv. 1.5, 1.6, 1.7 

v. 40, 20, 30

Answer 1

The above expression is of the from (hypotenuse)² = (base)² + (height)² 

∴ The sides of lengths 8, 15, 17 will form a right-angled triangle.

∴ The above expression is not of the from (hypotenuse)² = (base)² + (height)²

∴ The sides of lengths 11, 12, 15 will not form a right-angled triangle.

∴ The above expression is of the from (hypotenuse)² = (base)² + (height)² 

∴ The sides of lengths 11, 60, 61 will form a right-angled triangle.

∴ The above expression is not of the from (hypotenuse)² = (base)² + (height)² 

∴ The sides of lengths 1.5, 1.6, 1.7 will not form a right-angled triangle.

∴ The above expression is not of the from (hypotenuse)² = (base)² + (height)² 

∴ The sides of lengths 40, 20, 30 will not form a right-angled triangle.