Question

the sides of triangle are 11,12,15 is this a right angled triangle?

step by step​

Answer 1

Answer:

Thus, (11, 12, 15) does not form a Pythagorean triplet. Hence, the given triangle with sides 8, 15 and 17 is not a right-angled triangle. (iii) The sides of the given triangle is 11, 60 and 61.

Step-by-step explanation:

follow

Answer 2

Answer:

No

Step-by-step explanation:

To know whether the given numbers could be the sides of a right-angled triangle or not, we apply the Pythagoras theorem i.e.

(Hypotenuse)² = (Base)² + (Height)²

Here, the Hypotenuse is 15

So, applying Pythagoras theorem,

   (15)² = (11)² + (12)²

But,

⇒ 225 ≠ 121 + 144

⇒ 225 ≠ 265

So, the given sides cannot be the sides of a right-angled triangle.

Now, let us understand the same concept using another right-angled triangle of sides 3 cm, 4 cm and 5 cm.

(Hypotenuse)² = (Base)² + (Height)²

⇒ 5² = 3² + 4²

⇒ 25 = 9 + 25

⇒ 25 = 25

So, the sides 3 cm, 4 cm, and 5 cm can be the sides of a right-angled triangle.