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lliasa
@lliasa
August 2022
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BD=10 cм, CD= 8 см, ∟CAD=∟BAD. Найдите x и y.
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Dимасuk
Verified answer
Т.к. ∠CAD = ∠BAD, то AD - биссектриса ∠A.
Тогда AC/AB = CD/DB
8/10 = x/y
0,8 = x/y
x = 0,8y
(1)
По теореме Пифагора:
y² - x² = 18²
y² - x² = 324
Подставляем равенство (1):
y² - 0,64y² = 324
0,36y² = 324
y² = 900
y = 30
x = 0,8y = 0,8·30 = 24
Ответ: x = 24, y = 30.
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Answers & Comments
Verified answer
Т.к. ∠CAD = ∠BAD, то AD - биссектриса ∠A.Тогда AC/AB = CD/DB
8/10 = x/y
0,8 = x/y
x = 0,8y (1)
По теореме Пифагора:
y² - x² = 18²
y² - x² = 324
Подставляем равенство (1):
y² - 0,64y² = 324
0,36y² = 324
y² = 900
y = 30
x = 0,8y = 0,8·30 = 24
Ответ: x = 24, y = 30.