Figure ABCD is graphed on a coordinate plane.

ABCD is an isosceles trapezoid. What is the approximate perimeter of ABCD? Round to the nearest tenth.

16.5 units
18.9 units
20.9 units
24.0 units

Figure ABCD is graphed on a coordinate plane ABCD is an isosceles trapezoid What is the approximate perimeter of ABCD Round to the nearest tenth 165 units 189 class=

Respuesta :

1. BC is 1+3=4 (units)

2. AD is 3+5= 8 (units)

3. Draw the altitude CH from point C, as shown in the figure.

4. Then triangle CHD is a right triangle, with hypothenuse CD, and sides HD and CH.

5. [tex]CD^2=HD^2+CH^2[/tex]

[tex]CD^2=2^2+4^2=4+16=20[/tex]

[tex]CD= \sqrt{20}= \sqrt{4*5}= \sqrt{4} * \sqrt{5}=2 \sqrt{5}= 4.47 [/tex]

6. AB=CD=4.47 because the trapezoid is isosceles.

7. P= BC+AD+AB+CD=4+8+4.47+4.47=20.9 (units)
Ver imagen eco92

20.9 Is your answer