Question

4
Q. 1. (B) Solve the following subquestions :
The lengths of the sides of a triangle are 9, 40, 41. State
whether the triangle is right angled triangle.​

Answer 1

Answer:

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Answer 2

Given :

Length of side of a triangle is 9cm , 40cm , 41cm

Required to find :

To find whether it forms an right angled triangle or not.

Solution :

To find whether a triangle is right angled triangle is very easy.

Here in the question he had given some measurements.

Using this measurements we can find whether it is right angled triangle is very easy

Here, we have to use the rule of pythagoran triplet.

This is because we already know that any given right angled triangle needs to satisfy the the rule of pythagoran triplet .

We can't form any right angled triangle without satisfying this rule.

So by using pythagoras triplet

The longest side of the triangle is called hypotenuse. According to the Pythagorean theorem the square of the hypotenuse is equal to the sum of the square of the two other sides

41^2=40^+9^2

1681=1600+81

∴1681=1681

Hence these length are Pythagorean triples.

And finally,

The pythagoran triplet rule was been satisfied.

Conclusion:

Since the measurements are obeying the rule of pythagoran triplet.

Hence,

This rule also satisfies pythagoran theorem.

So therefore,

The triangle is a right angled triangle.