Question

2. Tentukan Panjang AB dan BD

Answer 1

Verified answer

BD/AB = 5/(5 + 5√2)
BD/15 = 5/5(1 + √2)
BD/15 = 1/(1 + √2)
BD = 15/(1 + √2)
BD = 15(1 - √2) / (1 - (√2)²)
BD = 15(1 - √2)/(-1)
BD = 15(√2 - 1)

BD/AB = 5/(5 + 5√2)
(15 - AD)/15 = 1/(1 + √2)
1 - AD/15 = 1/(1 + √2)
AD/15 = 1 - 1/(1 + √2)
AD = 15 (1 + √2 - 1)/(1 + √2)
AD = 15√2 / (1 + √2)
AD = 15√2 (1 - √2) / (1 - (√2)²)
AD = 15√2 (√2 - 1)
AD = 15(2 - √2)