The length of a right angled triangle is 4.5 cm and the length of its hypoteneuse is 7.5 cm. Find the length of the third side.
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Solution :
Given :
In a right angled triangle :
- Length of one of the side = 4.5 cm
- Length of the hypotenuse = 7.5 cm
- Length of the third i.e other side = ?
To solve this problem we have to learn a theorem in of right angled triangle
Pythagoras theorem :Il In a right angle triangle, square of hypotenuse is equal to the sum of square of other two sides.
Therefore,
⇒ (Length of one side)² + (Legth of the other side)² = (Length of hypotenuse)²
Let the length of the other side be x cm
Substituting the values
⇒ ( 4.5 )² + x² = ( 7.5 )²
⇒ 20.25 + x² = 56.25
⇒ x² = 56.25 - 20.25
⇒ x² = 36
⇒ x² = 6²
⇒ x = 6
Hence, the length if the third side is 6 cm.
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