# Pravoúhly trojúhelník

Určete obsah pravoúhlého trojúhelníku, jehož délky stran tvoří po sobě jdoucí členy aritmetické posloupnosti a poloměr kružnice opsané tomuto trojúhelníku je 5 cm.

Result

S =  24 cm2

#### Solution:

Checkout calculation with our calculator of quadratic equations.

Try calculation via our triangle calculator.

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

Be the first to comment!

#### To solve this example are needed these knowledge from mathematics:

Looking for help with calculating roots of a quadratic equation? Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? See also our right triangle calculator.

## Next similar examples:

1. 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?
2. Equation
Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
3. Tubes
Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?
Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
5. Sequence
Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
6. Solve 3
Solve quadratic equation: (6n+1) (4n-1) = 3n2
7. Discriminant
Determine the discriminant of the equation: ?
8. Square root 2
If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
9. AS sequence
In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
10. Cinema 4
In cinema are 1656 seats and in the last row are 105 seats , in each next row 3 seats less. How many are the total rows in cinema?
11. 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
12. Difference AP 4
Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
13. Third member
Determine the third member of the AP if a4=93, d=7.5.
14. Roots
Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
15. Sequence 3
Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
16. Evaluation of expressions
If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
17. Catheti
The hypotenuse of a right triangle is 41 and the sum of legs is 49. Calculate the length of its legs.