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the hypotenuse of a right triangle is 25 cm and the shorter leg is 15cm find the length of the other leg

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DudeMagic
Using Pythagorean Therom, we know that the longest side or 25, when squared is equal to the height squared plus the width squared or[tex]A^{2} + B^{2} =C^{2} [/tex] where C is the Hypotenuse. [tex]25^{2}-15^{2} =400 or 20^{2} [/tex]

Answer:  The length of the other leg is 20 cm.

Step-by-step explanation:  As shown in the attached figure, triangle ABC is a right-angled triangle, where

m∠B = 90°, hypotenuse, AC = 25 cm  and  shorter leg, AB = 15 cm.

We are to find the length of the other leg, BC.

From Pythagoras theorem, we have

[tex]AC^2=AB^2+BC^2\\\\\Rightarrow BC^2=\sqrt{AC^2-AB^2}\\\\\Rightarrow BC=\sqrt{25^2-15^2}\\\\\Rightarrow BC=\sqrt{625-225}\\\\\Rightarrow BC=\sqrt{400}\\\\\Rightarrow BC=20.[/tex]

Thus, the length of the other leg is 20 cm.

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