Question

If the sides of a triangle as 3 cm, 4 cm and 6
cm long, determine whether the triangle is a right-
angled triangle.​

Answer 1

Step-by-step explanation:

In this triangle, the 3rd side is greatest. In this case the Pythagoras theorm is not followed as (6cm)^2 is not equal to (3cm)^2+(4cm)^2. We know that if in a triangle the Pythagoras theorm is not followed then the triangle is not a right angled. Thus, the triangle is not right angled triangle.

Answer 2

since thw longest side is 6cm

let hypotenuse be 6cm

by pythagores theorem

$6^{2} = 3^2 + 4^2$

=> 36 = 9 + 16

=> $36 \neq 25$

so its not a right angled triangle