Help me pleaseI want the step by step explanation!!
2 answers:
Answer:
The length of AB is 4.12cm and AD is 9.93cm
Step-by-step explanation:
Using the formula, a²=b²+c²-2(b)(c)cosA to find the length :
cos ∠ACB = 0.6
∠ACB = 53.1° (1d.p)
c² = 5² + 4² - 2(5)(4)cos(53.1)
= 16.98 cm
c =√16.98
= 4.12 cm
AB = 4.12 cm
∠ACD = 180° - ∠ACB
= 180° - 53.1°
= 126.9°
c² = 7² + 4² - 2(7)(4)cos(126.9)
= 98.62 cm
c = √98.62
= 9.93 cm
AD = 9.93cm
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