Question

Perhatikan gambar berikut!
Panjang XY dan YZ adalah... ​

Answer 1

Jawaban:

XZ = sisi miring = 26 cm

XY = sisi lain 1 = 2x

YZ = sisi lain 2 = 3x

teorema Pythagoras

(sisi miring)² = (sisi lain 1)² + (sisi lain 2)²

XZ² = XY² + YZ²

26² = (2x)² + (3x)²

676 = 4x² + 9x²

676 = 13x²

x² = 676

13

x² = 52

x = √52

x = √4 × √13

x = 2√13

panjang XY = 2x

= 2 × 2√13

= 4√13 cm

panjang YZ = 3x

= 3 × 2√13

= 6√13 cm

semoga membantu. (^_^)