Question

Na rysunkach przedstawiono figury trójkąt prostokątny kwadrat trapez równoramienny Oblicz ich pola​

Answer 1

Verified answer

a)

[tex]P=\frac{1}{2} *a*h[/tex]

a = 4

h = ?

[tex]4^{2} +h^{2} =5^{2} \\h^{2} =25-16\\h^{2} =9\\h = 3[/tex]

[tex]P = \frac{1}{2} *4*3=6[/tex]

b) wzór na przekątną kwadratu:

[tex]a\sqrt{2}[/tex]

[tex]a\sqrt{2} = 7\\a = \frac{7}{\sqrt{2} } *\frac{\sqrt{2} }{\sqrt{2} } =\frac{7\sqrt{2} }{2}[/tex]

[tex]P = a^{2} =(\frac{7\sqrt{2} }{2})^{2} = \frac{49*2}{4} =\frac{98}{4} =24,5[/tex]

c)

[tex]P = \frac{1}{2} *(a+b)*h\\\\a=16\\\\b=4[/tex]

[tex]16-4 = 12\\\\12:2=6[/tex]

[tex]6^{2} +h^{2} =10^{2} \\\\h^{2} =100-36\\\\h^{2} =64\\\\h = 8[/tex]

[tex]P = \frac{1}{2} *(16+4)*8 = \frac{1}{2} *20*8=80[/tex]