Area of RT

Calculate the area of a right triangle in which the hypotenuse has length 14 and one of the segments that the altitude creates on the hypotenuse has length 5.

Final Answer:

S =  46.96

Step-by-step explanation:

$$\begin{gathered} c=14 \\ {c}_1=5 \\ c=c_1+c_2 \\ v=\sqrt{c_1\cdot c_2} \\ v=\sqrt{c_1\cdot (c-c_1)}=\sqrt{5\cdot (14-5)}=3\sqrt{5}\doteq 6.7082 \\ S=\frac{1}{2}\cdot v\cdot c=\frac{1}{2}\cdot 6.7082\cdot 14=21\sqrt{5}=46.96 \end{gathered}$$

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