Matematik opg 509 511 521-524

Indholdsfortegnelse 1 Opg. 509 2 Opg. 511 3 Opg. 521 4 Opg. 522 5 Opg. 523 6 Opg. 524

Opg. 509

Midtpunktstransversal = en linie der går mellem to midtpunkter, i en trekant.

• x = |EC| = |BE| = 4
• y = |BD| = |DA| = 3
• b = |AC| = 6(5/3) = 10

Opg. 511

• |AB| = 800 m

Opg. 521

• Areal = 4*3/2 = 6
• |AB| = (3²+4²)^(1/2) = 5
• |CH| = (6*2)/5 = 2,4
• |AH| = (3²-2,4²)^(1/2) = 1,8
• |HB| = (4²-2,4²)^(1/2) = 3,2

Opg. 522

• H = (24²-23,04²)^(1/2) = 6,72
• |RH| = (7²-6,72²)^(1/2) = 1,96
• |RQ| = (6,72/23,04)*24 = 7
• |RP| = 23,04+1,96 = 25

Opg. 523

Opg. 524