Pythagoras Theorem
Pythagoras Theorem
Pythagoras Theorem:
It is the triangle with one of its angles as a right angle, that is, 90 degrees. The side that is opposite to the 90 degree angle is known as the hypotenuse. The other two sides that are adjacent to the right angle are called legs of the triangle.
The theorem, also known as the Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle. Or, the sum of the squares of the two legs of a right triangle is equal to the square of its hypotenuse.
Let us call one of the legs on which the triangle rests as its base. The side opposite to the right angle is its hypotenuse, as we already know. The remaining side is called the perpendicular. So, mathematically, we represent the Pythagoras theorem as:
Example: Find the hypotenuse of a triangle whose lengths of two sides are 4 cm and 10cm.
Solution: Using the Pythagoras theorem,
=102+42=116
Hypotenuse= =10.77cm
Hence the hypotenuse of the triangle is 10.77 cm.
In fig. length of AE is ________________ | |||
| Right Option : C | |||
| View Explanation | |||
The hypotenuse of a right triangle is 37 cm long. If one of the remaining two sides is 12 cm in length, then the length of the other side is | |||
| Right Option : A | |||
| View Explanation | |||
In a right angle triangle ABC, right angled at B , AB = 6cm , BC = 8cm , then AC = _________________ . | |||
| Right Option : A | |||
| View Explanation | |||
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