See harmonics

It is true that the size of the central segment of any trapezoid is the harmonic mean size of its bases? Prove it. Central segment crosses the intersection of the diagonals and is parallel to the bases.

Result

Yes

No

Try another example

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:

Be the first to comment!

Next similar examples:

1. Seats
   Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
2. Roots
   Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
3. Sequence
   Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
4. Harmonic and arithmetic means
   The local Utah Department of Child Service office wants to project staffing needs based on current social worker assignments. They have the number of cases per social worker for the following staff: Mary: 25 John: 35 Ted: 15 Lisa: 45 Anna: 20 Calculat
5. Roof
   Tiles are stacked in rows on the trapezoidal shaped roof. At the ridge is 15 tiles and each subsequent row has one more tile than in the previous row. How many tiled is covered roof if lowermost row has 37 tiles?
6. Theorem prove
   We want to prove the sentense: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
7. Complex number coordinates
   Which coordinates show the location of -2+3i
8. Fish tank
   A fish tank at a pet store has 8 zebra fish. In how many different ways can George choose 2 zebra fish to buy?
9. The confectionery
   The confectionery sold 5 kinds of ice cream. In how many ways can I buy 3 kinds if order of ice creams does not matter?
10. Six terms
    Find the first six terms of the sequence a1 = -3, an = 2 * an-1
11. Equation
    Equation ? has one root x₁ = 8. Determine the coefficient b and the second root x₂.
12. Calculation
    How much is sum of square root of six and the square root of 225?
13. 75th percentile (quartille Q3)
    Find 75th percentile for 30,42,42,46,46,46,50,50,54
14. Discriminant
    Determine the discriminant of the equation: ?
15. Calculation of CN
    Calculate: ?
16. Linsys2
    Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
17. Geometric progression 2
    There is geometric sequence with a₁=5.7 and quotient q=-2.5. Calculate a₁₇.