Right-angled 78394

A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of ​​this triangle.

Final Answer:

S =  100 cm²

Step-by-step explanation:

$$\begin{gathered} d=20\text{cm} \\ r=d/2=20/2=10\text{cm} \\ a=d=20\text{cm} \\ h=r=10\text{cm} \\ S=\frac{a\cdot h}{2}=\frac{20\cdot 10}{2}=100{\text{cm}}^2 \end{gathered}$$

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