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Chapter 3: Q 7. (page 298)

State the Pythagorean theorem and give an example of a triangle that illustrates the theorem.

Short Answer

Expert verified

The Pythagorean theorem states that if a right triangle has legs of lengths aand band hypotenuse of length c, then a2+b2=c2.

For example a triangle having sides 4units, 3unist and 5units

⇒52=42+32⇒25=25

Step by step solution

01

Step 1. Definition of Pythagorean theorem

The Pythagorean theorem states that if a right triangle has legs of lengths aand band hypotenuse of length c, thena2+b2=c2.

02

Step 2. Example with explanation

Let us suppose we have a triangle with length 3units, 4units and 5units.

So we know that the hypotenuous is always bigger than other two.

Therefore, According to pythagorean theorem 52=42+32

⇒25=16+9

⇒25=25[Hence proved]

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