Area of RT

A right triangle has segments on the hypotenuse (created by the altitude) of lengths 15 cm and 9 cm. Determine the area of this triangle.

Final Answer:

S =  139.4 cm²

Step-by-step explanation:

$$\begin{gathered} p=15\text{cm} \\ q=9\text{cm} \\ c=p+q=15+9=24\text{cm} \\ h=\sqrt{p\cdot q}=\sqrt{15\cdot 9}=3\sqrt{15}\text{cm}\doteq 11.619\text{cm} \\ S=\frac{c\cdot h}{2}=\frac{24\cdot 11.619}{2}=36\sqrt{15}=139.4{\text{cm}}^2 \end{gathered}$$

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