# 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****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!**

#### To solve this verbal math problem are needed these knowledge from mathematics:

## Next similar examples:

- 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? - Evaluation of expressions

If a^{2}-3a+1=0, find (i)a^{2}+1/a^{2}(ii) a^{3}+1/a^{3} - Discriminant

Determine the discriminant of the equation: ? - Difference AP 4

Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1 - Third member

Determine the third member of the AP if a4=93, d=7.5. - Sequence 3

Write the first 5 members of an arithmetic sequence: a_{4}=-35, a_{11}=-105. - Solve 3

Solve quadratic equation: (6n+1) (4n-1) = 3n^{2} - Square root 2

If the square root of 3m^{2}+22 and -x = 0, and x=7, what is m? - 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? - 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 - Sequence

Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702. - 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? - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ? - Equation

Equation ? has one root x_{1}= 8. Determine the coefficient b and the second root x_{2}. - AS sequence

In an arithmetic sequence is given the difference d = -3 and a_{71}= 455. a) Determine the value of a_{62}b) Determine the sum of 71 members. - The sum 2

The sum of five consecutive even integers is 150. Find the largest of the five integers. A.28 B.30 C.34 D.54 Show your solution and explain your answer.