Mathematic Problems

345. példa

The paralell sides of the trapezoid orund the circle has length of 8 cm and 2 cm. Calculate the area of the trapezoid!

8 + 2 = c + c

10 = 2 c

c = 5

c^{2} = x^{2} + h^{2}

5^{2} = {(8 - 2)}^{2} + h^{2}

25 = 36 + h^{2}

h^{2} = 36 - 25 = 9

h = \sqrt{9} = 3

T = \frac{a + b}{2} \cdot h = \frac{8 + 2}{2} \cdot 4 = 5 \cdot 4

T = 20 c m^{2}

T = 20 c m^{2}

Matematika - Képlettár