Quadrilaterals and Polygons: Squares, Rectangles and Rhombi

think icon Think & Click: Think & Click: Properties of Rectangles

Now, you try. Complete the Think & Click activity by looking at the problem below, thinking about it, and then clicking on the question to reveal the solution.

Use rectangle ABCD to answer the following questions.

rectangle ABCD with diagonals intersecting at point O
DC is 6 feet and BO is 5 feet. Find the length of AD.
 

BD = 2(BO) = 2(5) = 10

BC2 + DC2 = BD2

BC2+ 62 = 102

BC2 + 36 = 100

BC2 = 64

BC = 8

AD = 8

Angle ADC = (6x – 90)°. Find the value of x.
 

6x – 90 = 90

6x = 180

x = 30