Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13
Answer:
Volume of composite is 483
Step-by-step explanation:
We need to add the volume of a rectangular prism (7 mm x 12 mm x 3 mm) to a semi-cylinder (of radius 3.5 mm and height 12 mm):
Volume of the prism = 7 x 12 x 3
= 252
Volume of the semi-cylinder = 
Therefore the sum of both volumes gives:
(252 + 230.907)
= 482.907
WHich can be rounded to the nearest whole number as: 483
Prime numbers are numbers that only have a factor of one and its self.
Answer: 
Step-by-step explanation:
The formula for area of a triangle is 
Now we have to isolate for w.
First multiply by the 2 which is the reciprocal of 1/2 to cancel it out.

Now divide by h to isolate w.