Question

if the sides of a triangle are 3 cm , 4 cm and 6 cm long , determine whether the triangle is right angled triangle​

Answer 1

Answer:

No

Step-by-step explanation:

If they are  the sides of a right triangle then pythagorean theorem should satisfy.

hence $6^{2} \neq 3^{2} +4^{2}$

so they r not the sides of a right triangle

Answer 2

Given data :-

• The sides of a triangle are 3 cm , 4 cm and 6 cm long.

Solution:-

Let, ΔABC is right angle triangle.

Let, side AB = 3 cm, side BC = 4 cm & side AC = 6 cm.

Let, side AC is hypotenuse of ΔABC

We know that, all right angle triangle passses the property of Pythagoras theorem.

Now, by Pythagoras theorem.

→ (AC)² = (AB)²+(BC)²

→ (6)² = (3)²+(4)²

→ 36 = 9 + 16

→ 36 ≠ 25 ....... ( 1 )

Hence, {from eq. ( 1 )}triangle form by side AB = 3 cm, side BC = 4 cm & side AC = 6 cm. is not right angle triangle. OR

Hence, ΔABC is not right angle triangle.