Three dimensions The distance between point and plane Distance between point and plane is vertical...

5
Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane. ( jarak titik ke bidang adalah panjang garis tegak lurus dari titik ke bidang ) • A A

Transcript of Three dimensions The distance between point and plane Distance between point and plane is vertical...

Page 1: Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane.

Three dimensions

The distance between point and plane Distance between

point and plane is vertical line which connects point and center pointof plane.

( jarak titik ke bidang adalah panjang garis tegak lurus dari titik ke bidang )

• A

A’

Page 2: Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane.

A cube ABCD.EFGH with edge 6 cm, find the distance between point A to plane BCGF

A B

CD

H G

E F The distance between point A and plane BCGF is line AB = 6 cm

Page 3: Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane.

A B

D C

E F

H G

A cube ABCD.EFGH with edge 6 cm, find the distance between point C to plane BDG

C’

O

The distance between C to plane BDG is CC’

OC = AC2

1

262

1

23

(OG)2 = (OC)2 + (CG)2

22623

= 18 + 36

= 5463OG

See the triangle OCG

The area OCG = 2

CGOC

2

623

The area OCG = 2

'CCOG

2

'63 CC

32' CC

2

623 2

'63 CC

Page 4: Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane.

In the cube ABCD.EFGH of edge 9 cm, find the distance from point B to the plane AFC

In the cube ABCD.EFGH of edge 6 cm, find the distance from point A to the plane

BDHF

In the cube ABCD.EFGH of edge 6 cm, find the distance from point B to the plane

EFGH

A pyramid T.ABCD with edge of base square 4 cm and TA = TB = TC = TD = 8 cm. Find the distance from point T to plane ABCD

TASK

Page 5: Three dimensions The distance between point and plane Distance between point and plane is vertical line which connects point and center pointof plane.

In the cube ABCD.EFGH of edge 4 cm, determine the distance from point E to the plane BDG

A pyramid T.ABCD with edge of base square 4 cm and TA = TB = TC = TD = 8 cm. Determine the distance from point T to plane ABCD

QUIZ