find the length of the hypotenuse of right triangle the two other two sides of which measure 9 cm and 12 CM
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BY PYTHAGORAS THEOREM :-
![l {}^{2} + {b}^{2} = h {}^{2} \\ \\ = > ( {9})^{2} + (12) {}^{2} = {h}^{2} \\ \\ = > 81 + 144 = {h}^{2} \\ \\ = > 225 = {h}^{2} \\ \\ = > \sqrt{225} = h \\ \\ = > 15cm = h l {}^{2} + {b}^{2} = h {}^{2} \\ \\ = > ( {9})^{2} + (12) {}^{2} = {h}^{2} \\ \\ = > 81 + 144 = {h}^{2} \\ \\ = > 225 = {h}^{2} \\ \\ = > \sqrt{225} = h \\ \\ = > 15cm = h](https://tex.z-dn.net/?f=l+%7B%7D%5E%7B2%7D+%2B+%7Bb%7D%5E%7B2%7D+%3D+h+%7B%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+%28+%7B9%7D%29%5E%7B2%7D+%2B+%2812%29+%7B%7D%5E%7B2%7D+%3D+%7Bh%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+81+%2B+144+%3D+%7Bh%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+225+%3D+%7Bh%7D%5E%7B2%7D+%5C%5C+%5C%5C+%3D+%26gt%3B+%5Csqrt%7B225%7D+%3D+h+%5C%5C+%5C%5C+%3D+%26gt%3B+15cm+%3D+h)
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aditya5167:
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Ans: If it is a right angled triangle then,
According to Pythagoras Theorem,
(Hypotenuse)^2 = (Length)^2 + (Breadth)^2
Therefore, (Hypotenuse)^2 = (12)^2 + (9)^2
(Hypotenuse)^2 = 144 + 81
(Hypotenuse)^2 = 225
(Hypotenuse)^2 = √225
(Hypotenuse) = 15
Here is your answer , Hypotenuse is equal to 15
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