Question

determine whether the triangle whose lengths of sides are 4, 5, 6 is a right angled triangle

Answer 1

Answer:

The given lengths of the sides are 3 cm,4 cm and 5 cm

32=3×3=9;

42=4×4=16;

52=5×5=25

We found that 

9+16=25

32+42=52

Therefore, the triangle is a right-angled triangle. 

Note : In any right-angled, triangle the hypotenuse happens to be the longest side. 

In this example the side with length 5 cm is the hypotenuse.

Step-by-step explanation:

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Answer 2

Answer:

NO

Step-by-step explanation:

Let's assume  the triangle be ABC is a right angled triangle (B=90)

AB=4cm

BC=5cm

AC=6cm

Converse of Pythagoras theorem is defined as: “If square of a side is equal to the sum of square of the other two sides then triangle must be right angle triangle''

So,AB^2+BC^2=AC^2

   4^2+5^2=AC^2

  16+25=AC^2

  41=AC^2

 AC=√41

 But it (√41)  contradicts the fact that AC is 6cm . So ABC is not a right angled triangle.