Triangle def is formed by connecting the midpoints of the sides triabgle abc. the lengths of the sides of def are shown. what is the length of ab

The length of AB is 6.

The following information should be considered:

Therefore,

= 6

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6

Step-by-step explanation:

We know the theorem that if we connect the midpoints of any two sides of a triangle then the line so formed will be parallel to the third side and its length will be half of the length of the third side.

Now, Δ DEF is formed by connecting the midpoints of sides of Δ ABC.

Since line segment EF is formed by connecting the midpoint of side BC i.e. E and the midpoint of side AC i.e. F.

Therefore, AC = 2 × EF = 2 × 3 = 6 (Answer)

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

+25 = x

step-by-step explanation:

here x is the hypotenuse of a right triangle whose legs are 7 and 24.   by the pythagorean theorem, 7² + 24² must equal x²:

x² = 49 + 576 = 625.   thus, x = +√625 = +25 = x