Diketahui segitiga ABC siku-siku di A.

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Jika luasnya 150cm2, AB:AC= 4:3. Maka keliling segitiga ABC=….cm
A. 30, B. 36, C. 45, D. 60

Diketahui segitiga ABC siku-siku di A.

Jawaban:

Luas = 1/2 × a × t

150 = 1/2 × (3x × 4x)

300 = 12x²

x = √25

x = 5

3x = 3(5) = 15 cm

4x = 4(5) = 20 cm

Sisi miring = √(15² + 20²) = √(225 + 400) = √625 = 25 cm

K = 15 cm + 20 cm + 25 cm

K = 60 cm [D]