in the figure 3.93 if w x is equal to 25 y t is equals to 8 y z is equal to 26 find the wt
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WT = 9 or 16
Step-by-step explanation:
applying chord intersection
WT * XT = YT * ZT
YT = 8
YZ = 26
=> ZT = 26 - 8 = 18
WX = 25
WT = a
XT = 25 - a
=> a(25 - a) = 8 * 18
=> 25a - a² = 144
=> a² - 25a + 144 = 0
=> a² - 9a - 16a + 144 = 0
=> a(a - 9) - 16(a - 9) = 0
=> (a - 9)(a - 16) = 0
=> a = 9 or 16
WT = 9 or 16
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