In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 28 centimeters and b = 21 centimeters, what is c? If necessary, round to the nearest tenth. c = ____ centimeters.

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

[

c = sqrt{a^2 + b^2}

]

Where:

– ( a = 28 ) cm

– ( b = 21 ) cm

Now, plug in the values:

[

c = sqrt{28^2 + 21^2}

]

Calculate ( 28^2 ) and ( 21^2 ):

[

28^2 = 784

]

[

21^2 = 441

]

Now, add these values:

[

c = sqrt{784 + 441} = sqrt{1225}

]

Finally, calculate the square root:

[

c = 35 text{ cm}

]

So, the length of the hypotenuse ( c ) is 35 centimeters.