Question

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

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, $c^{2}=a^{2}+b^{2}$. Given $a = 28$ and $b = 21$, we substitute these values: $c^{2}=28^{2}+21^{2}$.

Step2: Calculate $a^{2}$ and $b^{2}$

$28^{2}=28\times28 = 784$ and $21^{2}=21\times21=441$. Then $c^{2}=784 + 441$.

Step3: Calculate the sum

$784+441 = 1225$. So $c^{2}=1225$.

Step4: Find the value of $c$

Take the square - root of both sides: $c=\sqrt{1225}=35$.

Answer:

35