State whether segments of the given lengths can be side of a right angle triangle. a=7, b=24, and C=25.
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2 Points

Given:

In a triangle,

To find:

Whether the given segments are the sides of a right triangle or not.

Solution:

In a right triangle the square of largest side is equal to the sum of squares of two smaller side.

                (Pythagoras theorem)

Three sides are . Here, 25 is the largest side.

Now, the sum of squares of two smaller sides is:

Since the sum of squares of two smaller side is equal to the square of largest side, therefore the given segments are the sides of a right triangle.

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