Answer:
Radius, r, is 3.75
Step-by-step explanation:
From the given diagram,
AB = 9
AC = 6 + r
BC = r
Thus applying the Pythagoras theorem, we have;
=
+ 
=
+ 
36 + 12r +
= 81 + 
collecting like terms,
12r = 81 - 36
12r = 45
r = 
= 3.75
r = 3.75
The radius is 3.75.
Answer:
D. greater than 8 cm and less than 70 cm
Step-by-step explanation:
Given:
Length of one side = 39 cm
Length of other side = 31 cm
We need to find the length of third side.
Solution:
to find the length of third side we will use triangle Inequality property which states that;
"The length of the third side should be less than sum of the other two side."
Also;
"The length of the third side should be greater than difference of the other two sides."
Now Sum of 2 sides of triangle = 39 + 31 =70 cm
Also Difference of 2 side of triangle = 39 -31 = 8 cm
Hence The length of the third side should be greater than 8 cm and less than 70 cm.
The formula for the area of a parallelogram is base times height or bh.
There's a formula sheet on Khan Academy:
https://www.khanacademy.org/math/basic-geo/basic-geo-area-and-perimeter/parallelogram-area/a/area-of...