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22swittman
19.01.2020 •
Mathematics
30 points available
for circle k and circle l, segment j m is a common internal tangent. if jk = 3, lm = 9 and jm = 20, find kl. show all work.
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Ответ:
Step-by-step explanation:
Triangles JKN MLN are similar.
There is a right angle at J and M. <JNK and <MNL are vertically opposite. By AA the triangles are similar.
Find JN
JK = 3
LM = 9
JK/LM = JN/(20 - JN)
3/9 = JN/(20 - JN)
1/3 = JN/(20 - JN)
20 - JN = 3JN
20 = 4JN
JN = 5
NM = 20 - 5
NM = 15
Find KN
KN^2 = JN^2 + JK^2
JK = 3
JN = 5
KN = ?
KN^2 = JK^2 + JN^2
KN^2 = 3^2 + 5^2
KN^2 = 34
KN = sqrt(34)
Find LN
LN = ?
MN = 15
LM = 9
LN = sqrt(15^2 + 9^2)
LN = sqrt(306)
LN = 3*sqrt(34)
Find LK
LK = sqrt(34) + 3sqrt(34)
LK = 4 sqrt(34)
Ответ:
ian gon capp i jus want points srry lol .