panjang diagonal diagonal belah ketupat 4:5jika luas belah ketupat 25cm²tentukan panjang masing masing diagonalnya

Bab Bangun Datar

Diagonal 1 = 4x
Diagonal 2 = 5x

Luas = 1/2 × d1 × d2
25 cm^2 = 1/2 . 4x . 5x
25 cm^2 = 2x . 5x
10x^2 = 25 cm^2
x^2 = 25 cm^2/10
x = √(25 cm^2/10)
x = 5/√10 cm
x = 5/√10 cm × √10/√10
x = 5√10/10 cm
x = 1/2 × √10 cm

Diagonal 1
= 4 × 1/2 × √10 cm
= 2√10 cm

Diagonal 2
= 5 × 1/2 × √10 cm
= 5√10/2 cm
= 2,5√10 cm

Bangun Datar.

L = 1/2 d₁d₂
25 = 1/2 (4x)(5x)
25 = 10x² → x = 1/2 √10

d₁ = 4(1/2 √10) = 2√10 cm
d₂ = 5(1/2 √10) = 2,5 √10 cm