Perhatikan gambar berikut jika panjang SR = 20 cm SQ = 45 cm Tentukan panjang

aku minta tolong yaa☺

Perhatikan gambar berikut jika panjang SR = 20 cm SQ = 45 cm Tentukan panjang

Jawab:

Penjelasan dengan langkah-langkah:

$frac{SP}{RS} = frac{QS}{SP}$

$SP^{2} = (RS)(QS)\SP^{2} = (20)(45)\SP^{2} = 900\SP = 30cm$

b. QR = QS + RS = 45 + 20 = 65 cm

$PR = sqrt{PS^{2}+RS^{2} } \PR = sqrt{30^{2}+20^{2} } = sqrt{1300} = 10sqrt{13}$

$PQ = sqrt{QR^{2}-PR^{2} } \PQ = sqrt{65^{2} - 1300} = sqrt{2925} = 15sqrt{13}$

Luas segitiga RPQ = $frac{1}{2}$ x PR x PQ

= $frac{1}{2}$ x $10sqrt{13}$ x $15sqrt{13}$

= 75 x 3

= 225 cm²