If the length of the shorter leg of a right triangle is 5 cm and the length of the hypotenuse is 8 cm, find the length of the longer leg.

The length of the longer leg is 6.24 cm.

Step-by-step explanation:

Here, the length of the hypotenuse  = 8 cm

The length of shorten leg ( Base) = 5 cm

Let us assume the length of longer leg (Perpendicular)   = k cm

Now, as the given triangle is a right angled triangle.

So, by the PYTHAGORAS THEOREM:

Now,as k is the length of the side, so it cannot be negative.

⇒   k  =  6.24 cm

Hence, the length of the longer leg is 6.24 cm.

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step-by-step explanation: