Dragan

Excellent work, Max!!!

Side PR is divided by the median into 2 equal line segments.

Median is divided by the centroid into 2 line segments whose ratio is 1:2

ON = QN / 3 = 4

NR = PR / 2 = 7

OR = sqrt ( 4² + 7² ) = 8.062257748    

https://web2.0calc.com/questions/hello-plz-help-the-answers-i-ve-received-so-far-are#r3

5+6+7 = sqrt(18)² 

AB = 10         BC = AD = 14            angle A = 45º

h = sin(45º) * 10 = 7.071

Area = h * BC = 98.995 units2      or      (10 * 14) / √2 = 98.99494937  

Hi, asinus! As a matter of fact, there are two solutions; here they are:    ( see diagram )

1)    In both cases, the red line is tangent to all 3 circles.

2)    Both circles, C and D are the tangents to circles A and B.

3)    The red line intersects line AB.

R = 6.75            r = 3.375   

Hi, Geno! Please take the time and read the question again. 

A circle of radius 12 is cut out of a piece of paper. A 90-degree sector is then cut from this circle. This 90-degree sector is rolled into a cone. What is the volume of the cone?

r = 3        h = 11.619

V = pi * r² * h / 3 ≈ 109.51 u³