Question

in a half circle the area of the largest inscribed triangle is 16 cm square so find the diameter of the half circle​

Answer 1

Answer:

8 cm

Step-by-step explanation:

Area of triangle is = 1/2 * base * height

Maximum values of base and height are D and D/2 respectively

We use these values is the formula for area

This is equal to 16 cm^2 (given)

$\frac{1}{2} * D * \frac{D}{2} = 16\\D^{2} = 16 * 2 * 2\\D = \sqrt{64}\\D = 8$