C In the figure, a semicircle with its diameter on thehypotenuse of a right angled triangle is showntouching the remaining sides of a triangle. Theparts of the hypotenuse made by the centre of thesemicircle have lengths 15 cm and 20 cmrespectively. Find the radius of the semicircle.(Construction : Join OD and OE)

C In the figure, a semicircle with its diameter on thehypotenuse of

1.	C In the figure, a semicircle with its diameter on thehypotenuse of a right angled triangle is showntouching the remaining sides of a triangle. Theparts of the hypotenuse made by the centre of thesemicircle have lengths 15 cm and 20 cmrespectively. Find the radius of the semicircle.(Construction : Join OD and OE)
Answer» This is when the triangle will have the MAXIMUM AREA. The formula ½× B × h is the area of a triangle, and in this case, the BASE is double the RADIUS or 2r. Since the base sits on the diameter of the semicircle, the height is r, and the following formula provides the areaStep-by-step explanation:

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