If ab = 8, and ox = 3 and is the perpendicular bisector of ab, which is the length of the diameter of this circle? a. 2 b. 4 c. 5 d. 10

  C.  5

Step-by-step explanation:

OXA is a 3-4-5 right triangle, so the circle radius is OA = 5.

By the Pythagorean theorem,

  AO² = OX² +AX² = 3² +4² = 9 +16 = 25

  AO = √25 = 5 . . . . circle radius

Comment on Pythagorean triples

The triple of integers (3, 4, 5) is the smallest triple of integers that satisfies the relation of the Pythagorean theorem. The next smallest set is (5, 12, 13). These, and a few other similar triples such as (7, 24, 25) and (8, 15, 17) are often used in algebra and geometry problems because they make the numbers work out nicely. It is worthwhile to learn to recognize these.

the first one

step-by-step explanation:

just id the test.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.