In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 48 meters and b = 36 meters, what is c? If necessary, round to the nearest tenth. c = _____ meters

To find the length of the hypotenuse ( c ) in a right triangle where ( a ) and ( b ) are the lengths of the legs, you can use the Pythagorean theorem, which states:

[

c^2 = a^2 + b^2

]

Given ( a = 48 ) meters and ( b = 36 ) meters, you can plug these values into the formula:

1. Calculate ( a^2 ) and ( b^2 ):

– ( a^2 = 48^2 = 2304 )

– ( b^2 = 36^2 = 1296 )

2. Add these values together:

– ( c^2 = 2304 + 1296 = 3600 )

3. Now take the square root to find ( c ):

– ( c = sqrt{3600} = 60 ) meters

So, the length of the hypotenuse ( c ) is 60 meters. If you need further explanations or have more questions, feel free to ask!

To find the length of the hypotenuse ( c ) in a right triangle, you can use the Pythagorean theorem, which states:

[

c^2 = a^2 + b^2

]

Given ( a = 48 ) meters and ( b = 36 ) meters, we can substitute these values into the equation:

[

c^2 = 48^2 + 36^2

]

Calculating ( 48^2 ) and ( 36^2 ):

[

48^2 = 2304

]

[

36^2 = 1296

]

Now add these two results:

[

c^2 = 2304 + 1296 = 3600

]

Now, take the square root to find ( c ):

[

c = sqrt{3600} = 60 text{ meters}

]

So, the length of the hypotenuse ( c ) is ( 60 ) meters.