Respuesta :
Answer:
Step-by-step explanation:
UV² = 3² + 4² = 9 + 16 = 25
UV =√25 = 5
UV = VW = 5 { in Kite, adjacent sides are equal}
UX² = 3² + 9² = 9 + 81 = 90
UX =√90 = 9.49
UX = WX = 9.49
Perimeter = 5 + 5+ 9.49 + 9.49 = 28.98
Answer:
10 + 6[tex]\sqrt{10}[/tex]
Step-by-step explanation:
The main diagonal XY is a perpendicular bisector of UW, thus the triangles inside the kite are all right triangles
UV = 5 ( 3 - 4 - 5 Pythagorean triple )
and VW = UV = 5
Calculate the hypotenuse WX using Pythagoras' identity
WX² = 9² + 3² = 81 + 9 = 90 ( take the square root of both sides )
WX = [tex]\sqrt{90}[/tex] = [tex]\sqrt{9(10)}[/tex] = 3[tex]\sqrt{10}[/tex]
and UX = WX = 3[tex]\sqrt{10}[/tex]
Thus perimeter is the sum of the 4 sides
= 5 + 5 + 3[tex]\sqrt{10}[/tex] + 3[tex]\sqrt{10}[/tex]
= 10 + 6[tex]\sqrt{10}[/tex]