The length of the hypotenuse of a right angled triangle is 13 cm. If one of the triangle be 5 cm long, find the lenght of the other side.
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The length of other side is 12 cm
The length of other side is 12 cmPythagorean 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.
Step-by-step explanation:
Using Pythagoras theorem
Using Pythagoras theoremH²=B²+P²
Using Pythagoras theoremH²=B²+P²13²=5²+P²
Using Pythagoras theoremH²=B²+P²13²=5²+P²P²=13²-5²
Using Pythagoras theoremH²=B²+P²13²=5²+P²P²=13²-5²²=144
Using Pythagoras theoremH²=B²+P²13²=5²+P²P²=13²-5²²=144P=12
Using Pythagoras theoremH²=B²+P²13²=5²+P²P²=13²-5²²=144P=12So the length of the other side is 12cm.
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