Respuesta :
Answer:
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:
[tex]( Base)^2 + ( Perpendicular)^2 = ( Hypotenuse)^2\\\implies (5)^2 + (k)^2 = (8)^2\\\implies k^2 = 64 - 25 = 39\\\implies k^2 = 39\\k = \sqrt{(39)} = \pm (6.24)[/tex]
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.
Answer:
Hence, the length of the longer leg is 6.24 cm.
Step-by-step explanation:
