RT a-b-x

There is a right triangle with legs long a, b, and hypotenuse long x. Given that a = 6 cm and b = 9 cm, work out x.
Give your answer as an exact surd.

Final Answer:

x =  10.8167 cm

Step-by-step explanation:

$$\begin{gathered} a=6\text{cm} \\ b=9\text{cm} \\ {x}^2=a^2+b^2 \\ x=\sqrt{a^2+b^2}=\sqrt{6^2+9^2}=3\sqrt{13}=10.8167\text{cm} \end{gathered}$$

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