Pada gambar berikut, panjang jari-jari MA = 13 cm, panjang jari-jari NB = 7 cm, dan panjang MN = 29 cm. Hitunglah panjang garis singgung persekutuan dalam AB.!

<p>misalkan: d = panjang garis singgung persekutuan dalam</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;MN = jarak dua titik pusat lingkaran</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;R = jari-jari lingkaran MA &nbsp;</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;r = jari-jari lingkaran NB</p><p>Dik: MN = 29 cm</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;MA = 13 cm</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp;NB = 7 cm</p><p>Dit d =...?</p><p>Lesaian:</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; d = V(MN² - (R + r)²)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = V(29² - (13 + 7)²)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = V(29² - 20²)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = V(841 - 400)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= V441</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;d = 21</p><p>jadi, panjang garis singgung persekutuan dalam AB = 21 cm</p><p>semoga membantu.</p>