Height of right RT

The right triangle ABC has a hypotenuse c 9 cm long and a part of the hypotenuse cb = 3 cm. How long is the height of this right triangle?

Correct answer:

v =  4.2426 cm

Step-by-step explanation:

$$\begin{gathered} c=9\text{cm} \\ {c}_1=3\text{cm} \\ {c}_2=c-c_1=9-3=6\text{cm} \\ {v}^2=c_1\cdot c_2 \\ v=\sqrt{c_1\cdot c_2}=\sqrt{3\cdot 6}=3\sqrt{2}=4.2426\text{cm} \end{gathered}$$

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