ABCD is a rectangle enclosed in a circle with centre at O and radius of 7cm. AOC is a diameter of the circle. the area of the rectangle is
56 2
. find the height of triangle ADC if the base is AC.

9514 1404 393

  4 cm

Step-by-step explanation:

The area of the triangle is half the area of the rectangle. The base of the triangle is the diameter of the circle, 14 cm. So the height is found from ...

  A = 1/2bh

  (56 cm²)/2 = 1/2(14 cm)h

  h = (28 cm²)/(7 cm) = 4 cm

The height of triangle ADC is 4 cm.