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She was 39 years old when she died 30 bc what year was she born?
30 bc - 39 j =69 bc
Why is the long leg the square root of 3 times bigger then the short leg in a 30 60 90 triangle?
I guess you are asking of the two sides which are not the hypotenuse, why the longer is root 3 times the shorter. Consider a 30, 60, 90 triangle ABC with ∠A = 30o, ∠B = 90o and ∠C = 60o and so side AC is the hypotenuse and BC is the shortest side. Reflect the triangle ABC in side BC to create triangle ABE. ∠EAB will be 30o, ∠ABE 90o and ∠BEA 60o. Side AE = AC. ∠EAC = ∠EAB + ∠BAC = 30o + 30o = 60o So triangle ACE is an equilateral triangle and thus side EC = AC Since EC = AC and EB = BC, EC=EB + BC ⇒ AC = BC + BC ⇒ AC = 2BC Using Pythagoras on triangle ABC to find length AB gives: AB2 + BC2 = AC2 ⇒ AB2 + BC2 = (2BC)2 ⇒ AB2 = 4BC2 - BC2 ⇒ AB2 = 3BC2 ⇒ AB = √3BC ie the shortest side is root 3 times the other non-hypotenuse side.
How many years are there between 30 BC and 30 AD and why?
58 years are between 30 BC and AD 30. The first thing you need to remember is that there is no year 0; the year before AD 1 is 1 BC. So the years between 30 BC and AD 30 are... 29 BC, 28 BC, 27 BC, ..., 2 BC, 1 BC, AD1, AD 2, ..., AD 27, AD 28, AD 29 29 BC through 1 BC is 29 years, and AD 1 through AD 29 is 29 years. 29 years + 29 years = 58 years
What is the length of the shortest side of abc whose perimeter is 64 units if the ratio abbc is 43 and ac is 20 less than the sum of the lengths of sides ab and bc?
Let x be the length of side AB and y be the length of side BC. Given that the ratio of AB to BC is 4:3, we can express y in terms of x as y = (3/4)x. The perimeter of the triangle ABC is x + y + (x + (3/4)x) = 64 units. Simplifying, we get 2.75x = 64, so x = 64 / 2.75 = 23.27 units. Therefore, the shortest side of triangle ABC is the side AC, which is 20 less than the sum of AB and BC, so AC = x + y - 20 = 23.27 + 17.45 - 20 = 20.72 units.
What would a triangle look like if ab plus ac equals bc?
It would be a straight line of length bc
