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 this math problem and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! To solve this verbal math problem 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. Sequence 3 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
2. 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?
3. Discriminant Determine the discriminant of the equation: ?
4. 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?
5. Solve 3 Solve quadratic equation: (6n+1) (4n-1) = 3n2
6. Roots Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ?
7. Sequence Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
8. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
9. Difference AP 4 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 Find the roots of the quadratic equation: 3x2-4x + (-4) = 0.
11. Square root 2 If the square root of 3m2 +22 and -x = 0, and x=7, what is m?
12. 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
13. Third member Determine the third member of the AP if a4=93, d=7.5.
14. 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.
15. Equation Equation ? has one root x1 = 8. Determine the coefficient b and the second root x2.
16. Evaluation of expressions If a2-3a+1=0, find (i)a2+1/a2 (ii) a3+1/a3
17. A rectangular patio A rectangular patio measures 20 ft by 30 ft. By adding x feet to the width and x feet to the length, the area is doubled. Find the new dimensions of the patio.