A right 2

A right triangle has legs with lengths of 24 cm and 21 cm if the length of the hypotenuse, in cm, can be written in the form of 3 sqrt(d), then what is the value of d?

Correct answer:

d =  113

Step-by-step explanation:

$$\begin{gathered} a=24\text{cm} \\ b=21\text{cm} \\ {a}^2+b^2=c^2 \\ c=\sqrt{a^2+b^2}=\sqrt{24^2+21^2}=3\sqrt{113}\text{cm}\doteq 31.8904\text{cm} \\ c=3\sqrt{113}=3\sqrt{d} \\ d=113 \end{gathered}$$

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