Question

determine whether the triangle whose lengths of side are 3 can, 4 cm, 5 cm. is a rightangled triangle?​

Answer 1

Question:-

determine whether the triangle whose lengths of side are 3 cm, 4 cm, 5 cm. is a right angled triangle?

Answer:-

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

${3}^{2} = 3 \times 3 = 9 \\ {4}^{2} = 4 \times 4 = 16 \\ {5}^{2} = 5 \times 5 = 25$

we found that,

$9 + 16 = 25 \\ {3}^{2} + {4}^{2} = {5}^{2}$

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.

Answer 2

Step-by-step explanation:

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.