Question

(B) Check whether the sides 2.5 cm, 6.5 cm, 6 cm can be the sides of a right angled triangle.​

Answer 1

Answer:

Yes, the sides can create a right angled triangle.

Step-by-step explanation:

For a right angled triangle, the Pythagorean theorem tells us that the two shorter lengths squared and added together equals the longest length squared (a^2 + b^2 = c^2). So, to find out if the length can work for a right angled triangle, we will, again, square and add the two shorter lengths, 2.5 and 6, and see if its equals the longest length squared, with 6.5 being out longest side/ hypotenuse.

2.5^2 + 6^2 = 6.5^2

6.25 + 36 = 42.25

42.25 = 42.25

Since we are left with a true equation, we know that the sides can create a right angled triangle.

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